It's a very good question. It certainly depends on the objectives of the MPA. I'm aware that lobster fishing, in particular, is currently permitted in many of the MPAs and in protected areas in Canada. It's considered a low-impact method of fishing, but it does have a bycatch problem that's not fully assessed under MSC criteria. That could be incompatible when considering endangered wolffish that are caught as bycatch with MPA criteria.
It's on a case-by-case basis.