No. That was inspired by Wintour. But anyone without a shred of knowledge regarding the fashion industry assumed Gaga because she's well known.
Anna Wintour: http://en.wikipedia.org/wiki/Anna_Wintour
I guess people thought that the male fashion pony in that episode was just some randomer, eh? Wrong, it was supposed to be a parody of Karl Lagerfeld: http://en.wikipedia.org/wiki/Karl_Lagerfeld
r.i.p. alleria. 1997-2017. blizzard ruined alleria forever. blizz assassinated alleria's character and appearance.
i will never forgive you for this blizzard.