As someone who has lived in (and followed current affairs) in both of these countries, this is a very idealistic and naïve view. There can be a big gap between theory and practice
> There are statutory instruments (in France, constitutional clauses), that determine the independence of these authorities.
> They are tasked - and held to account by respective legislative bodies -
It's worth nothing here that the UK doesn't have separation of powers or a supreme court (in the US sense)
however it's a very mainstream point of view so i respect that he/she has laid it out pretty well, so i upvoted the comment