Give me your puzzle pieces, because here comes an unpopular opinion
That always kind of bugged me in Ending 4 to be honest, like you said
> she reasserts her identity as Fang because it ultimately was a part of her even if it was only because of the desire to be a gender special
Not only that, she pretty much was at her worst at that point in life, aggressive, confrontational, selfish, self-centered, prone to self-harm, pretty much a bitch to anyone but Reed and Trish, and above all things, a ticking time bomb. Seeing her to overcome her issues and grow as a person, but somehow still keeping the name she used when everything started to go downhill for her, feels weird.
At least, if i remember correctly, in the last scenes of E4, everyone stopped calling her Fang, and pretty much only Anon keeps calling her that name by the end, and most likely in the epilogue when they have Amber, they both stopped using that name.
I think i've said before in this thread, if Cavemanon ever decides to make a sequel of Snoot Game, something probably set several years after the ending, i hope Lucy no longer goes by "Fang", the name she used when she pretty much was larping as a non-binary, when she's already older and probably had another kid besides Amber, that would be cringy at the very least.