Note that citations don't make bias impossible or claims true, they just make it easier to decide whether to trust information. E.g. If I cite the BBC in my statement and you trust the BBC you're more likely to trust my statement.
A lot of right wingers believe that most news sources (and particularly a lot of the ones the wikipedian collective thinks of as reliable) are grossly misleading or lying, so they won't be very convinced by, say, a Vogue citation.
Your point, while valid enough in general, is a red herring in this case.
Not just right-wingers. With few exceptions, Wikipedia "reliable sources" are mostly mainstream media, which most lefties regard as locked-down, neo-liberal propaganda cannons.