According to various rumors, Bitcoin is closely following Ethereum's results.
What rumors? ETH hasn't moved to PoS yet. Proof of stake has not been proven to be more secure or decentralized than PoW, so there is no reason for Bitcoin to switch.
ETH has already implemented the Stake code to its 2.0 blockchain, it is still using a hybrid algorithm but ETH along with other altcoins are looking for an algorithm to replace PoW that is not a secret.