I'm not sure about the younger generation: I'll have to ask my brother how well his daughters handle boredom (I don't have any children myself).
This is an interesting question. I myself really value "doing nothing" time. When I was growing up, we had "quiet time" at weekends and in school holidays, usually an hour a day. The adults read books, and we children had to look after ourselves, usually separately. But my mum was somebody who always had to be busy, and in her retirement, she is still like that. She was a teacher, and in school holidays, she could never spend a day doing "nothing": and often, her bright ideas would involve the rest of us being busy: she gave us stuff to do whether we wanted it or not. Perhaps she had the teacher's instinct that pupils always had to be kept busy, or they would start playing up. She would decide (on a whim) that she wanted to repaint the entire house over the summer holidays, and of course we'd have to muck in, when the rest of us just wanted to enjoy the summer, not even asking for expensive activities to fill it with. When I was a teenager, I remember fighting for my downtime, pleading "can we just chill?". She was also very big on writing diaries, but this was presented as a chore, especially on holiday. "Have you written your diary about what we did today, yet?", when we wanted to relax at the end of a long day. (I also remember a realisation that school trips would always be followed by having to write about them.) And needless to say, lazing on a beach was not her thing at all: she would have to be doing something, such as swimming. She probably got it from her father, who was self-employed, and was very much of the view "time is money". She is lovely, but her mania to be busy can be exhausting sometimes.
My parents suddenly started going to church when I was nine, and I remember my annoyance at this, because it took valuable "chill time" out of the weekends. I stopped going as soon as I could.