As a parent, I didn't teach my children that pink was for girls and blue was for boys (including all related toys). But if this difference is being taught in schools, Sykadelic it is wrong, and of course it is a social movement. Children spend a lot of time in school, and at school events. A school event is not an isolated incident, it can happen around six times a year. School fairs, fund-raisers, etc.
Also, I've read lots of times that education is key to changing some of society's attitudes on lots of things, diet, drugs, consent, emotional well being, etc, is it really unreasonable to expect the educational settings that play a part in shaping our children to not promote gender stereotypes?
A car being aimed at a boy might seem harmless, there's absolutely nothing wrong with boys liking cars etc, and there's nothing wrong with girls liking dolls etc, it's the assumption that because they are male or female then they will or should like these things.
I dunno, I think accepting/promoting the smaller stereotyping allows the bigger more harmful stereotyping, like men thinking they should be strong and protectors, then finding it hard to talk about feelings. I was shocked to read that the biggest cause of death in men under 40 (I think it was 40) was suicide, and that families often had no idea they were struggling until it's too late. I could be speaking shit, but I wonder how much societies expectations of girls/boys and then women/men contribute to these numbers. It's not something I've read a lot on yet but plan to.