2 things. 1) You've made the logical error that me saying, "All of the things that belong to this group have Z in common" means, "All things that have Z in common belong to this group." 2) Your examples don't involve (at least not in as direct a manner) issues pertaining to gender and gender roles. Sexuality, yes, but not gender.
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'He who receives an idea from me, receives instruction himself without lessening mine; as he who lights his taper at mine, receives light without darkening me.'
-TJ
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