I agree with your first paragraph. But why would this provide any benefit for a static site where no compute is needed (or all compute is client side)?
My bad -- I meant static sites with one additional functionality that all static sites try to outsource: comments.
(it would no longer be strictly static, but the idea is to decouple site from hosting/compute, so it would be easy to port a static/dynamic site between providers at the switch of a DNS entry).