I think that 'gender' (different expected and encouraged behaviours based on bodily sex) is a patriarchal social construct designed to keep women subjugated.
My own personal view is that "different expected and encouraged behaviours based on bodily sex" is an extremely old phenomenon and is in many ways inevitable due to the sex roles and sexual dimorphism of humans. It is deep within the human psyche, part of our evolution and has nothing to do with patriarchy, although males have abused the phenomenon to dominate females via mechanisms like patriarchy.
It's like trying to eliminate religious or spiritual beliefs from a human population. You really can't because many people still find themselves drawn to forms of it, and even if you succeed in banning or downplaying one type of religion or superstition, for example Christianity, you will find some people gravitating towards other forms of spirituality like new age meditation, healing stones, social justice movements etc.
Banning pink and blue as colours for the sexes might work in the short term but it doesn't eliminate or address the underlying reasons why humans feel a need to distinguish between women and men, and you may find, in time, a new set of colours emerging, say orange and green to signify this desire to differentiate.
There are layers to this phenomenon of course - it's not so much the assigning of colours, but also the sexist connotations that may accompany it and the rigidity with which various human societies police and enforce and condition such traditions and cultural practices.
I just think it's standard human behaviour to condition each of the sexes to prepare the offspring for their role as adults in a sexually dimorphic and predominantly heterosexual population. We condition offspring to speak the language of our tribe/nation, we explicitly and implicitly teach them various cultural and traditional behaviours and nuances, and we also teach them how to 'behave' as a man or a woman. No doubt there are many negative or harmful ideas that have accumulated over the years on what it means to be a man or a woman, but I don't think the phenomenon itself can be eliminated. Otherwise you would have to ignore why humans are sexually dimorphic in the first place. And as we've seen in recent years with the gender madness, that's a bad place to be.