I do think it’s a problem when 100% of people seeing “made with AI” will assume the entire thing is AI-generated, even if all you did was use AI for a minor touch-up. If it’s really that trigger happy right now, I think it’d make sense for it to be dialled down a bit.
There are a lot of valid reasons, other than security, for why you wouldn’t want that though. You don’t necessarily want to allow any client’s activity to be traceable on an individual level, nor do you want to allow people to do things like count the number of clients at a particular location. Information like that is just unnecessary to expose, even if hiding it doesn’t make anything more secure per se.