Yes, the division of responsibility is absolutely what I endorse. I serve it, and they eat (or don’t) whatever of it they wish.
As a fall back, because I won’t send them to bed hungry, they can make themselves toast/cereal/porridge (and pasta/omelette etc now some of them are teens).
I only cook one family meal (though I may serve it “separately” ie spaghetti in one serving bowl, bolognese in another serving bowl, cheese in another service bowl). They eat it or they don’t. They get something boring and plain if they don’t want the main meal.
Thats the division of responsibility in my mind. I serve, and then it is in their hands.
I’ll never make an issue of food by cajoling, or ordering them to eat just two bites, or bribing them with no pudding unless you eat mains. Food should be a joy.
Does my method work? I have one teen who will try most things but isn’t an adventurous eater, one teen who has a limited diet of beige safe foods, one pre-teen who will try absolutely anything (snails - fine, haggis - delicious, all shellfish - he’d kill for it) and one young primary kid who will eat virtually everything (but drew the line a the expensive white strawberries I bought because they were “just wrong”!).
I don’t know how to do it any differently without becoming a cafe (and I’d lose my shit with that) or becoming a nag (I’d create more issues with that) or sending the to bed hungry, which I just won’t do. It’s working for me, mostly.