Bitcoin is not a coin for anonymity but Monero is. Bitcoin helps you to gain more privacy than traditional fiat allows. Bitcoin is not the best choice for anonymity because it uses blockchain, which is an open public book were every Bitcoin transaction is recorded. Think about blockchain like a public phone book (we had that in the Soviet Union) where everyone's home phone number was recorded in a book that was sold everywhere.

By buying P2P, you do not completely hide traces but you have to compare this action to buying Bitcoins from an exchange or a bank. When you buy it from an exchange, it's traced, it's written that these coins directly belong to you but when you buy from a peer, it's not labelled as a Bitcoin transaction and it will be much harder to associate coins with you without deep investigation.

Your thoughts are correct, I believe the reasons why people are concerned about p2p transactions are as a result of the fiat output they get, and also the fiat input as well when they want to buy bitcoin, because in the course of owning Bitcoin, as an investor, you must buy, and doing this would require one to make a payment with cash to the vendor willing to deal for those who want money but it doesn't necessarily mean it must be money all the time, one can exchange their property or assets for bitcoin as long as both parties come to terms just as you have said but I believe with time enthusiast would begin to see the other aspect of p2p transaction much more than just selling for fiat alone. Only then will the issue of p2p anonymity reduce to the barest minimum, coupled with other features and technology that will come up in the future, which will be able to accommodate other transactions that would not require one to reveal their identity.

It might seem or appear to be the only way, but that's not the only way not to link it to your personal bank account. There are some non-KYC exchanges that are listed on KYCNot that you can use to communicate with the buyer and decide to accept a gift card from the person instead of physical cash or a transfer, and then you can use the card to pay for goods or convert it to cash using some payment processor in order to break that link from your bitcoin down to your personal account.

You take it or leave, pros and cons are everywhere, just as in this situation too - but some people that I  know do it like that, with BTC and changing fiat for another fiat alike.

There are two ways to obtain Bitcoin anonymously, one is through mining and the other is through P2P.

The firstmethod is mining: which wasavailable in the past when Bitcoin mining was easy. Today it is not available to everyone because it is expensive because it requires the purchase of mining equipment and the cost of electricity.

The other method is P2P: Which is considered the easiest way.Where you can exchange Bitcoin directly through some decentralized services that do not require any personal information or through a personal meeting witha seller in your area and you pay in cash.

If you leave your data to ATMs, there may be a situation leading to something bad eventually.

Not now, not in the future, but in a distant one.

Well, I think so, because basically, what we do in real life and online to buy Bitcoin still has the potential to be revealed. Even if we buy Bitcoin with cash without a bank transfer, there is still a chance of it being revealed. We know that when someone buys Bitcoin, there is a chance their face will be exposed or marked by the seller. And even if they sell it later, it is the same as I said. So, in essence, I don't think there is a 100% secure method (in the sense of having no potential for disclosure). Meanwhile, other existing methods are aimed at minimizing the possibility of disclosure, so that it will be difficult and take time to be revealed, cmiiw.

Maintaining anonymous confidentiality when buying or selling bitcoin, in my opinion, is currently very difficult.

The easiest way is to buy bitcoin for cash. This service is provided by some exchangers. At the same time, as knowledgeable people say, most of these exchangers cooperate with law enforcement agencies in one way or another. Accordingly, when exchanging, they identify their clients. I am not even talking about the fact that all the premises of such exchangers are equipped with video cameras. 🕵️Also, exchangers, as a rule, do not change too small amounts. In any case, they try to find out as much information about their clients as possible before exchanging cash for bitcoins. It will probably be easier for you to maintain anonymity and confidentiality if you give the exchangers the Monero cryptocurrency and receive Bitcoin in return. With such an exchange, you may be able to maintain anonymity and confidentiality, that is, you will end up with bitcoin, but the analytical programs analyzing the Bitcoin blockchain will not know who you are and what person this bitcoin belongs to. 

At the same time, another question arises... How do you buy Monero? In any case, perhaps for maximum anonymity and confidentiality you will need to come up with a complex exchange scheme.

Because the entire logic of financial agents is now aimed at depriving you of anonymity and confidentiality when making financial transactions.

Having someone in his local area? That's not a very wise way to accumulate some Bitcoin this days, there are many Bitcoin still moving around with bad footprint on them, because they are stolen through hacks and other ways.

The funny thing is there is a track on such Bitcoin, centralised exchanges are laying low looking forward to where the Bitcoin will end up, I will never buy bitcoin from anyone living close to me or even my friends.

The country is hard, things are more costly and people don't care how to make money anymore, they can decide to turn evil in second, before you preach about knowing those close to you very well, we are human and change is the only thing that's constant with us.