Comment by pja
IIRC Switch was originally conceived as having one gender in the outside "real" world but another when incarnated in the Matrix (where your own self body image defines you). Hence their name - they switched.
This was all dropped at some point - the only surviving relic being the name of the character.
You're right about Switch but the other context is one of the Matrix directors said the original idea for The Matrix was a trans metaphor.
Somehow this became "the Matrix is a trans metaphor" to people with poor media literacy skills.
There was also an unfinished plot thread in The Matrix Online that a woman who emerged from a coma at the same time Neo died may or may not be a reincarnated Neo. This story setup was never concluded or followed up on.
"Fans were quick to note that "Sarah Edmontons" is an anagram for "Thomas Anderson," leading many players to believe Neo may have been reborn as Sarah after dying."
https://www.cbr.com/the-matrix-resurrections-online-female-n...