gender-blind 

Adjective. Used to define someone who is attracted to people based on personality, likes, dislikes, and other things not related to gender.
similar to pansexual.

Maria is gender-blind, First Maria dated Cathy because she made her laugh. but she ended up with Mark because they had more in common.

gender-blind by Martha A. September 19, 2008

Pseudo-Genderblindness 

A trait where someone is attracted exclusively to non-gendered non-physical traits like personality but still has a gender preference. Any sexuality or romantic orientation other than pansexuality and panromantic can have pseudo-genderblindness.

I am straight but I am only into people with a personality I like. I have pseudo-genderblindness.

Pseudo-Genderblindness by Shugunou March 6, 2023

Genderblendt 

Most of the characters have their gender swapped, while some of them have their gender swapped.

This show would be so much better if the cast was genderblendt.

Genderblendt by EmmaRosie December 24, 2020