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100% this.
Schools are underfunded, teachers criminally underpaid, ministers have no proverbial skin in the game having overwhelmingly been privately educated and sending their kids to private schools, so the system that many choose to criticise continues to creak. In the circumstances, I would prefer schools to teach what they are eminently better at doing than I am, and I'll spend time on the other stuff.
All three of the issues you mention were covered at the state primary and secondary schools my three went to. And being at school didn’t stop me from spending time on this kind of stuff with them, isn’t that my responsibility as a parent?
My partner teaches early years and is frustrated and resigned at the number of parents who drop their kids off expecting staff to teach them how to wipe their arse and nose, hold a knife and fork and put their shoes on.