Do you think it's possible that the Bitcoin price will follow Ethereum price in the future? When Ethereum becomes proof of stake and becomes deflationary, can it happen?
It all depends if he takes the number one spot and he surpass the market cap but before he can do that it should upgrade it's platform, Binance is a big threat to his position and might overtake him in his position right now Binance is the best choice for DeFi developers because of it's cheap transactions.
I honestly doubt that ethereum would ever be able to pass bitcoin. That is just a pipe dream of all ethereum holders (including me but I own bitcoin too) so it is not going to happen but people will keep dreaming about it. Think about it this way, even when ethereum is going up, bitcoin doesn't go down, it goes up as well so the gap doesn't get closed all that much.
There is a good chance that we could see the gap closing minor level, it is not going to be too much of a close though, it is going to be tiny. Think about it this way, the gap is over 2x right now, and I am sure the gap could be closed to exactly 2x marketcap instead of some change, it is a good change right now to see the situation as it is, ethereum fighting to take that spot while bitcoin not giving that spot, competition giving quality is the number one reason for free market.