Let me preface this by admitting that this would not apply to me, so I'm totally neutral about it; I probably wouldn't even notice if they added it and I have no reason to be against it.

However, I wouldn't get your hopes up about this happening, ever. It's not even the lack of gender-neutral words in some languages or the work involved in going back over the thousands of lines of dialog to change it. It's the cutscenes that are the biggest hurdle. SE switched voice actors between ARR and HW so it would not be as simple as recording one new word for each of them and editing it in where appropriate. It would mean re-recording every single spoken line in the entirety of ARR content to ensure that the voices matched. There is simply no way in h*ll that SE is going to pay for for that to appease such a small minority of the playerbase.

It has nothing to do with being with LGBT or politically correct or trans/homophobic and everything to do with the almighty dollar.