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Douglas Harper's Etymology Dictionary
omnisexual

by 1959, from omni- + sexual. Earliest application is to Walt Whitman.

Wiktionary
omnisexual

a. pansexual.

Usage examples of "omnisexual".

Most are womanly in shape, some are androgynous, some are homo-, bi-, or omnisexual, and a few take other forms.

I don’t mean to say that he was epicene in the sense of being sexless, but rather that he was androgynous, omnisexual, capable of finding and giving pleasure with anyone or anything.