That is so neat. I'm not fully aware of what the non-binary experience is, but I do totally see how that would be an interaction.
As my transition has progressed, less and less do i want to see me as new vs. old. The person with the other name and all the stuff that person did, are still within me. I've never really wanted to retire that person.
To be sure, that person was a woman acting like a dude, but usually enjoying a lot of it. I often say to people that knew me in the past that i'm the same person, i look different, dress different and use the right language and pronouns now, but still that person, only having changed as all people do over the course of their lives.