Hmm, I found Zed to consume battery less than VScode on my M1 MBP. It's ~100 vs ~200 12h power consumption on average according to Activity Monitor. Do you compare it to VSCode?
It's unlikely that anyone will see this but I tried using Zed again after not using it for a while and the power draw is significantly lower! So I don't think it is related to those issues after all. I don't see much of a difference between Zed and VSCode in the amount of energy they use, but Zed is noticeably snappier (and not owned by MSFT)