I can't say much about your level of discipline, but keeping large amount of cash at home is one of the fastest ways to spend your money, especially on irrelevant things. Even if you do not want to save your emergency fund in bitcoin, you can store them digitally in fiat. When the need arises, you withdraw cash or make transfers to the recipient.

I sense that some persons are confusing emergency funds with funds kept aside for everyday use. Some people do not get to use their emergency funds for the duration of time they kept it for, sometimes they end up not having need for the funds at all. That is why some people will rather choose to invest such money to generate more interests or returns.

However for Bitcoin, it is risky having your emergency funds in bitcoin because of volatility, and emergencies might come at the wrong timing. Having your money in fiat too might also be a bad decision because if kept idle for too long, it will lose its value due to inflation.

What I do is, I split my emergency funds into two parts. Some in fiat and some in bitcoin. Most times, I end up not using my bitcoin savings (emergency funds).

Bitcoin cannot be used as an emergency fund, and doing that means putting your Bitcoin investment into risk. Emergency can happen at any moment, and putting your emergency fund into Bitcoin means you can sell your Bitcoin asset when ever emergency comes
 There is always a saying we should use discretionary income, and what you can afford to loose if you really have interest in Bitcoin investing, but I noticed some investors still ignore this fact that investing in Bitcoin does not encourage the use of emergency income.
There is something that happen when you put money into Bitcoin as an investment, you should bear in mind that Bitcoin is a volatile asset, and can fluctuate in price within a short period of time, and therefore what ever money that is in Bitcoin has the possibility of either going  down more especially during bear market.

That is why it's good for beginners to take note of the basics so they'll have an understanding of what they're going into, although it is expected that people should be aware of the discretionary funds cause that's what's used for an investment whether Bitcoin or not, moreover it's a long term asset so they should know that they money for expenses and emergency funds shouldn't be used for that.

Anyone who rush into what is not fully understood would end up with more losses cause at some points ignorance would make the person make lots of mistakes that would've beem avoid if it was understood.

You are right. Bitcoin should never be used as an emergency fund. Investing in bitcoin should be done to ensure financial security for life after a long time. Bitcoin has been shown to give a lot of profit after a long time, and currently the world's financial situation is deteriorating. Inflation cannot be eliminated in any way.  there are very few alternatives assets  to bitcoin to maintain the value in the future. If anyone has the financial capacity, they can invest in bitcoin being a long time holder. It is not right that someone should completely stay away from Bitcoin investment just because they have low income or limited resources. The real question is whether they have discretionary income after necessary expenses. And if they are thinking of starting investment after perfecting their financial situation, they may have to wait for a long time without investing. Better planning is to start investing in bitcoin with a small amount. There is no rule that a newcomer cannot buy sats until a complete emergency fund of 3 to 6 months is created. If there is discretionary income, a backup fund and Bitcoin accumulation can be built in parallel. Suppose there is $100 discretionary income per month. Depending on the situation, you can start with $40 Bitcoin and $40 backup, or $50 for  bitcion or back up $50. If the backup is stronger, you can increase the allocation towards Bitcoin later. So It is more important to start investing in Bitcoin earlier .

I wont guarantee this method you mentioned because someone that is not well disciplined with cash at home, can even run out of funds before any emergency will come. I said so because someone that is not well disciplined will get tempted to make use of that money since they see it everyday and even forget that money was actually kept for something important. It is actually good to keep the money where it is accessible but keeping it at home, will result for use in other things even before the emergency and in this case, I might prefer it been in the bank, since it helps keep our mind away from that funds.

Stable coins can sound stable and good but there are several risks with stable coins.

PSA: Most Stablecoins Can Be Frozen, Even in Your Own Wallets.
Stablecoins and blacklists.
Can stablecoins be frozen by issuers?
Stablecoins: a deep dive into valuation and depegging.

With these risks: Freeze, Depeg, I believe that stablecoins are not much better than bitcoin for emergency fund. With me, my emergency fund is in cash or bank account with fiat currency there: no gold, no bitcoin, no stablecoins, no shitcoins.

In my opinion I think putting all your money into bitcoin investment without having an emergency fund is a bad idea. I understand that some people will say instead of the money just lying in the bank with no profit and might even loss its value overtime, based on inflation,  but we should not also forget that emergency don't announce itself, it just comes up unexpectedly, that's why it's called an emergency.
I believe you should investment with your discretionary income and also don't forget to save your emergency funds, so you don't have to sell your bitcoin when you have an emergency. This is just my opinion and I am open to other opinions too.

Exactly. For whatever reason Bitcoin really isn't suitable as an emergency fund because it's highly volatile meaning its price can drop drastically in a short time especially during a bearish market. So if an emergency happens suddenly you might be forced to sell Bitcoin at a loss putting the Bitcoins you've accumulated at risk of loss. 

So you really need to prepare ahead of time, I mean an emergency fund should be kept in a stable and easily accessible form. If fiat money causes you losses, then choose a stable asset like gold. Basically, Bitcoin is more suitable as a long-term investment that's ready to handle sudden fluctuations. By keeping them separate you can still invest in Bitcoin without jeopardizing your financial safety in an emergency.

The main purpose of emergency fund is not to make profit, but to provide quick liquid cash support in times of danger. Even though Bitcoin gives good returns in the long term, the market is always volatile. Suppose, you suddenly have a big emergency, and at that time there is a bear market and the price of Bitcoin is very down. Then you will be forced to sell your portfolio at a big loss. So even if you are afraid of inflation, it is not right to see emergency fund as an investment.

I personally favor a heavy bias towards crypto, but only after setting aside a completely separate emergency fund. In my opinion, you should keep at least 3 to 6 months of daily expenses in the bank as fiat or cash. After creating this basic safety net, you can invest a larger part of the additional capital you have in Bitcoin, In this way even if the value of cash decreases slightly due to inflation, it is possible to easily cover it with Bitcoin's long term profit. Also having cash on hand in times of danger, there will be no need to sell Bitcoin at a loss.