Another person here who agrees with you OP!
I only have boys, and I reluctantly admit, I probably do reinforce the toy stereotypes with them. My eldest is into vehicles, machinery, tools, lego etc. They are great for learning spatial awareness, logic, how mechanical things work. He loves making and fixing things, and we love role-playing being the 'boss' versus being the builders/doctors doing the work. He also does the 'caring' thing with his teddies and baby brother, and does some creative art stuff, but these are the minority of the time.
Every so often he'll pick up something pink and sparkly in a shop... I don't dissuade him from playing with these, but if I'm completely honest I (and DH) are not as enthusiastic about buying him 'girly' things as 'boy toys'.
This is not out of disdain for pink/girly things, just a mixture of:
a) feeling the 'girl toys' have less to offer as they often don't 'do' anything and don't teach the skills I mention above.
b) feeling they promote too much focus on appearances/clothes/prettiness
c) eldest already gravitates to 'boy toys', has done from he was as old enough to choose, I guess due to conditioning from us and nursery.
d) yes, I admit societal pressure...
e.g. he was given a 'girly' bracelet in a party bag and wore it for a while, and I was a little bit glad when it broke! So silly I know!
It seems more socially acceptable for girls to be tom-boys than for boys to be feminine, as a couple of pp's have said. I would love to rise above this, but I want my boys to fit in, for their own benefit, so would gently steer them towards the 'masculine' route (obviously this doesn't always work for every child and if there was resistance I would have to re-think).
I try not to enforce stereotypes, I refer to 'firefighters' instead of 'firemen', I avoid calling the household tools 'daddy's tools' even though in reality only DH buys or uses them (I am sadly useless at DIY and driving despite really trying). It all takes conscious effort to avoid exposing all these sexist stereotypes to them.
In the same way I would never say to them that a particular toy is 'girly' BUT I would maybe slightly steer them away from certain things and steer towards others, to make their life easier in the long-run.
I have never gone out of my way to buy them a doll, for example (and they've never asked for one). I had to choose between ballet and football and chose football without any hesitation, whereas maybe with a girl I'd have consulted them or thought about it a bit more.
I have friends with older girls, and always thought it was a bit sad and sexist when they talked about not liking 'pink' things for their girls, but seeing the qualities of the girl toys in comparison to boys and thinking about the educational value and the type of thinking they promote, I see their point.
Aware I don't have any experience with girls, and don't know whether there are innate differences in what girls and boys are interested in, I imagine it's very hard to study this because it would be difficult to find enough children who were not exposed to stereotypes from birth.