You may not, but too many do.
Thing is, gender ideology of the "gender as identity" variety requires gendered toys, clothes, hairstyles, etc. of the "gender as culturally-determined, often harmfully misogynist, stereotypes" sort.
Why? Because there actually is nothing to gender identity other than association with such stereotypes. Nor could there be. (Consider: if so, what?)
My daughters grew up playing with trains as well as dolls, with carpentry as well as cooking, with short hair as well as long, trousers as well as skirts. (Though we drew the line at heels.) - Oh, and physics as well as poetry, quite important that ... and maths as well as music. For them there was literally nothing that counted as "behaving like a boy" or "living as a boy", "identifying as a boy".
For them the whole idea of 'transgender' could not have made sense; what would it have been to identify as a boy, to feel like a boy? - To falsely claim to be able to pee against a tree? Or what?
Now, forty or so years later, a girl who plays with trains, wears her hair short and so on, can easily be told these are "boy things", which then can facilitate the foolish mistaken ideology of gender identity.
Of course we grown-ups - some of us, anyway - can see the incoherence in trying to base so-called "identity" on culturally-determined stereotypes in this way. Children, though ... well, are children.
This all emphasises the insidious nature of this - essentially reactionary, patriarchal - ideology of "gender-as-identity". Also, it points up how the fight against this ideology can be informed and advanced by battling gender stereotypes in children's toys and elsewhere.