Yes, but when you look at the distribution of winners, Grammies are also THE prime example for why you would want to keep such categories in other awards:
https://www.statista.com/statistics/801259/gender-grammy-awards-nominees-category/
The CLOSEST it ever gets for the male vs female distribution is in the New Artist category, where it's 58% male vs 42% female (still a very high difference), dropping down to 75.3% male vs 24.7% female in the second most 'equal' category, namely Song Of The Year. That's nuts. It's the second most 'even', and it's already more than 3 male nominees for each 1 female. And then it goes all the way down to 92.4% male to 7.6% female in Album Of The Year, meaning more than 12 TIMES more males than females.
Just dropping the gender categories in all awards, just because some trolls play "offended" by their existence, means pretty much just pushing the females out. If every contest or awards becomes a case of odds being stacked against you more than 12 to 1 if you're female -- and actually more like 13 to 1 when you also consider the difference in population size -- is quite frankly neither fair, nor particularly encouraging for girls considering that career path.
At some point I'll have to say, basically, "screw you" to those trolls. What you identify as is entirely your own business, but that's the key word: YOUR business. Alone. Not everyone else's. Trying to use it as the newest excuse to try to squeeze women out of some domain is quite a different thing.