3 year olds were way more useful before television remote controls became ubiquitous.
Are there now “go get a beer from the fridge bots” yet?
I'm a female and was a tomboy. I sometimes pretended to be Annie Oakley, but more often pretended to be male characters, very likely because there were more of them on tv. I remember when I was two or three, I tried to pee standing up like my dad - needless to say, that didn't work too well. (I mopped up the mess with a towel and "hid" the towel behind the toilet.) I would compete with my brothers. But I never thought I felt like I was a boy. I never thought I felt like a girl. I just felt like me. These days, I suppose a lot of parents who had a girl pretending to be Seth Adams on Wagon Train (though I did think the scout Flint McCullough was cute) or Rusty on Rin Tin Tin would assume their daughter wanted to be a boy.
So you watched what mom wanted....or you waited till she fell asleep and watched what you wanted to watch.