This seems inevitable, at this point. Barring a major transition failure, the fact that the Bitcoin devs and community seem to have no intention to even consider PoS (or anything else besides PoW) will likely ramp up narratives about Bitcoin's electricity usage and how Ethereum is a green, sustainable alternative, potentially causing the prices to get closer and generating a lot of very angry flamewars between both communities. These all already exist, but I think the dial's going to turn to 11.