As it is written, yes. That's why I much preferred 3e's designation of abilities as extraordinary and supernatural. It didn't leave it to the DM to fix things that should be supernatural, but aren't written as being explicitly supernatural.
In my opinion (take it or leave it), the logic of "it's not magic unless it says it is" falls apart pretty quickly. It doesn't take much time to find a list of abilities that aren't explicitly called out as magic that stretch believability.
Of course, YMMV; what is incomprehensible to one person can make complete sense to another (see debates about hit points for details- people who believe "hit points = meat" who are yet perfectly willing to ignore a Fighter's ability to take a day off and heal 16d10+X hit points without using any Hit Dice to do so).
One DM can interpret an ability as being "preternatural" in some way, akin to how a dragon flies or breathes fire, whether or not it's called out as "magical", while another can say it's not. Neither one of them are wrong, no matter what the books say, because it's "rulings, not rules".
As a result, "Position of Privilege" could be preternatural (I mean, it's a fantasy game after all, and in the past, people believed "nobles are special", so maybe they are?).
Invoking RAW (or the absence of it) isn't really proof of anything, other than "a DM has to rule on this", which is pretty much what this thread is all about.