You didn't ask about Sweden, but here goes.
Certainly we have peanut butter in Sweden, and certainly we have both crunchy and smooth. But it is not anything like a staple food in Sweden. In our country school lunches are free, so you generally don't bring your own lunch to school, and when I was at school as a student I was never served peanut butter. Today I'm a teacher, and I practically always bring my own lunch to school and heat it in a microwave oven in the staff room. I could eat in the school canteen, but as a teacher I would have to pay for my food, and then I prefer to bring my own. But I think I know enough about what is served in the canteen anyway to say that they don't ever serve peanut butter.
Most Swedish kids go to daycare centers before they start school, and they eat lunch there, of course. But due to allergy problems, I think that peanut butter is out of the question there.
Mainly though, peanut butter has never been a part of the Swedish "food culture", due to the fact that peanuts can't be grown here. "Open sandwiches" (with just one slice of bread) are very popular here. Kids will eat their sandwiches with cheese, jam, a slice of ham, liver spread with sweet and sour dill pickles or some mild salami.
But it's not a problem to buy peanut butter if you want it.
Ann
