Proof of Work is a thing to stay with for Bitcoin blockchain, miners, nodes and community. Bitcoin blockchain is not only Proof of Work but also a very strong one, a strongest and most secure PoW blockchain with highest hashrate, most decentralization, no censorship.

Moving to Proof of Stake will be a mess like what Ethereum has faced with. Ethereum even as a PoW blockchain was already smaller and weaker than Bitcoin blockchain, and the migration from PoW to PoS only makes that blockchain weaker in security, less decentralization, easily censored.

How stronger Bitcoin blockchain compares to other PoW blockchains, see
https://howmanyconfs.com/

Bitcoin opted for the most secure algorithm option from the jump and has no reason to consider a shift to another.
There has been no drastic change on bitcoin, just platforms interacting with it in different ways.

No, there has never been a consideration in the bitcoin community to hybrid into a different algorithm, not even as an afterthought.

Bitcoin will not transition to proof of stake because it will not, and there is no reason to do that. You see these staking companies, they are business people looking for something to show that they are working, so they can launch their coins. This Babylon, I did test their platform from the beginning of their testnet with some signet coins, launched their token, got some airdrop allocation, and that was the last time, same as others. The staked Bitcoins are mostly from institutional investors and some private investors, there is no reason to stake your coins for an insignificant yield with risk of hack.

Staking Bitcoin does not make any sense, maybe to proof of stake network, but it will never make any sense for a coin that is proof of work. Most of the staking platforms are exploited every day, and no one bears the consequences or compensation. It's better to keep coins in your wallet than do staking. I'm even more surprised by centralised exchanges that offer the same services when they can focus on trading related services.

I know, right? Bitcoin’s Proof-Of-Work model isn’t likely to get altered, especially not by the PoS. My point wasn't that Bitcoin should or will migrate to PoS as Ethereum did, but that we're seeing an ecosystem of Layer 2s and protocols experimenting with ways for BTC holders to earn yield while keeping the base layer unchanged. To phrase it better, the question is whether these staking-like mechanisms will become a major part of Bitcoin's economy or remain niche services built on top of Bitcoin, rather than changes to the network itself

I have tagged your account with neutral trust.

You skipped past my post but can always reply: https://bt.irlbtc.com/view/5590638.msg67020466#msg67020466

For your better understanding, what Babylon Lab is trying to do in not to alter Bitcoin network and make it become a proof of stake, as a matter of fact, they can not change the consensus mechanism of Bitcoin and there's no way Bitcoin will be changed to proof-of-stake, it will remain proof-of-work, what Babylon Lab is doing is to build their idea on top of Bitcoin but not changing the technology's consensus mechanism.

Previously, if you want to stake your Bitcoin, you can do that by depositing your coins to an exchange or to any centralized platform, meaning that the coin is not in your custody (not your key, not your coin), while your coins in being locked in a centralized platform, they give you small interest yield, right?

Now, what Babylon Lab intend to do is to enable a Bitcoin holder lock their coin (in form of staking) in their own custodial wallet, while the protocol verifies that the coin is locked and then it serves as collateral in Defi applications and also on-chain collateral for proof-of-stake networks. So, this would be done without centralized custodian platforms and without bridging or wrapping Bitcoin.

This is not in anyway suggesting that Bitcoin network is being changed to proof-of-stake and the company that's trying to develop this can not also force anyone to use the service they provide.

How did you come up with that conclusion?!!!
PoS is not even considered as a viable choice for it to be a dilemma!

Wrong. It is not considered because Proof of Stake is a fundamentally flawed protocol that doesn't work and meanwhile Proof of Work is a fundamentally strong protocol that is working fine so there is no need to seek a replacement.

No there has not not been any drastic change, it's pretty much the same as it has always been: block subsidy + fees.

Some centralized service offering people interest on the money they hand over to that service is not considered "increasing bitcoin's utility". It is categorized as yet another centralized business trying to make money.

I have to research what that is but these things are not "integrating directly into bitcoin" they are separate networks that usually have nothing to do with Bitcoin even if they are linked to it somehow (like through pegs or something similar).

No we are not. But by coming up with weird ideas many will try to come up with opportunities to make profit though...