GRSM is not inclusive of intersex people as Intersex is not a gender or a sexual orientation. That was one of the major issues brought up with the acronym.

From what I remember, MOGAI was coined specifically to address the issues with GRSM because GRSM was including coercive paraphilias but excluding intersex people. MOGAI means Marginalized Orientations, Gender Alignments and Intersex, and was coined by a nonbinary person on tumblr after input from a lot of other folks who wanted to be as inclusive as possible without including coercive paraphilias as being inherently ‘queer’. (The term ‘Gender Alignments’ instead of ‘Gender identities’ used here was referring to whether someone was cis / aligned with their assigned gender or not, as ‘marginalised gender identities’ would include cis women and exclude trans men.)

QUILTBAG is just a mnemonic for the lengthening LGBTQIA+ acronym and stands for Queer/Questioning, Unsure, Intersex, Lesbian, Trans, Bisexual, Agender/Asexual/Aromantic, and Gay. There’s nothing about gay stereotypes as far as I know.