As probably the only parent of a trans kid on the blog I feel somewhat more qualified to comment than most. Of course what I am saying is personal experience and anecdotal so take it for what it is.
We raised our child with dresses stuffed animals a "plink" painted room bows in hair (usually pulled out quickly) etc. So we definitely didn't raise them gender neutral, however if they wanted a toy truck we were fine with it, when they wanted to play football at about 6 I checked the rules and there was no rules about boys only so we went to tryouts only to be told, not in these words but this idea, no coach wants a girl on the team. That was despite the fact they were just as big and honestly more aggressive. So mom and another lady there talked her into cheerleading. She did it for one season and never tried again. In third grade playing basketball on the playground with boys she chipped a tooth going hard to block a shot.
Now he's my son. My thoughts are the kid will find their own path no matter what the parents think. Pretty much baring the parents outright rejecting the kids choices kids are smarter than we give them credit for and way more resilient.