This isn't relevant because Bohm's theory isn't local. There are much stronger results like PBR ruling out a large class of non-local realist theories, but that

This isn't relevant because Bohm's theory isn't local. There are much stronger results like PBR ruling out a large class of non-local realist theories, but that also doesn't include pilot wave theory. No known experiment can rule it out because it's predictions equal those of Copenhagen.