There is plenty of data on this and some controversy. In general, the industry doesn't like to talk about it. But it stands to reason that if frames need to be different sizes probably cranks do too.
Its not so much about power as it is about your knees. Longer cranks mean you have to move your knees more and your knees are the most important part of the mechanism. If you have knee problems you are better off on shorter cranks.
Your inseam says much about what crank length you can handle. I have an inseam of 30" and 170mm is the most I can handle. It seems I'm better off on 165s.
Here's a nice article on the issue:
https://ridefar.info/2017/02/crank-l...ance-cyclists/