I mean, the whole Madonna/Kim interviews shading the younger artists, making references about the younger artists being "clones," Gaga and Nicki responding to it and making it seem like Madonna and Kim are being hateful old bitches, etc. So similar.
As for the Madonna and Gaga feud being 'little monster fueled,' I don't remember there being tension between the two stan bases until everyone suddenly became a Madonna stan on February 11, 2011