Bitcoin probably won't accept anything else other than PoW, the community won't take it neither will majority of the other miners. If you're talking about renewable energy, sure! Most miners can already switch to them if the tariffs are cheaper. There should never be anything that governs the miners; it basically does nothing as there is no repercussions from breaking any rules and there is a risk of centralization as well. Forming an organization like this can threaten and restrict how the miners operates, which is not great.
Like it or not, this is just Elon Musk trying to save his investments and avoid a bad financial report.
If we can prove that miners are using green energy instead of fossil fuels, it means that's one less attack vector that the news, and governments can use against us. We would actually be better than most industries that people use on the daily.
I'm all for improvement, regardless of the influencing factors.