What's more likely, a "handful of ideologues" assigning these symbols, or the combined history of disempowerment of women throughout history assigning the symbols, which only started being disassembled this past century?

> There's nothing bad about girls playing with girly toys

You misunderstood what I wrote. I wholeheartedly agree there is nothing wrong with it at all. But embracing those aesthetic tendencies (which have nothing to do with being a mom) comes with a cost to the individual in society, not the least of which are being slotted as intellectually inferior. You'd have to purposely ignore the historical cultural signaling to deny it.

> It's also illogical - princesses having power over most men.

This is wholly irrelevant to the discussion, since we are talking about figurative princesses, not literal princesses who are daughters of aristocrats.

My position is that there are a handful of ideologues who have perverse beliefs that typically feminine things are bad or demeaning. These people are left-wing, academic, modern feminist types. They think things like "Wanting to be a princess is synonymous to wanting to subjugate yourself to men" or "Wanting to be a housewife will make people think you aren't intelligent".

The reality is that women and girls are, on average, predisposed towards "girly" stereotypes. More girls are interested in aesthetics, talking, emotions, etc. In the same way boys are more likely interested in things like fighting, guns, dinosaurs, trucks, etc. I think we should be equally fine with anyone interested in any set of subjects, but I also contend that the people I referenced earlier argue that girls doing typically girly things are undesirable and girls should be encouraged to pursue interests that boys typically do.

Survival in society requires a lot of adaptation to cultural power structures and symbols, and that can rationally mean nurturing a child in the direction that might run against their natural disposition. Another example less encumbered by the topic of gender: a parent might rationally make a non-athletically predisposed child play sports because the child can learn useful teamwork skills through their participation.