I think many parents ignore or outwardly quell the notion or signs of the young transgendered, not all, and certainly less so today than when I was a kid.
I knew I was really female around 4, noticed the anatomical differences at 5 sharing a bath with my cousin...
I asked a Dr when I was 5, with my mother or grandmother there... "Can I be a girl" was shutdown as he turned, looked past me and said "many young boys want to be girls, but they all grow out of it!" Hmmmmmm

I can pick these things very quickly, as I have lived them and they affect me, however many parents cannot and do not because they are not transgendered in any way.... or have been brought up no acceptance of such issues!
It certainly is dependent on society, understanding, and, I also think, care and acceptance of the child's well being above all else... Unfortunately, still today, "face" comes into it a lot... and I love and admire those that put all of that aside and provide the love, support and care to their offspring.
Katy xx