In my experience on the above sites, and as a (small) community manager, it absolutely plays into it. A lot of people just instinctively respond negatively to displays of authority.
On the other hand, I think it's an important aspect of a community/platform if the goal of that platform is to be transparent and open, which I think is an important aspect of SO and Wikipedia, and I hope more platforms would adopt that view. I think whatever "elitist" perception such platforms have to suffer is well worth having high-quality, open platforms.
(I will say that no platforms are perfect of course, including SO or Wikipedia; there's plenty of criticisms to go around about specific policies and decisions. See: TFA :P)