In Japan, we call those types of parents "monster parents". It's an interesting thing... because it seems to be happening all over the developed world. What is similar enough in all developed country cultures to have led to a percentage of parents acting this way? Or maybe some percentage of parents have always been this way, but society used to tell them "get over it" and moved on, whereas today we have handed them more power.
Hmm... I don't know. It is a bad trend. I wonder what "family time" is for the families that said that. If they are all playing board games and having group discussions all night, well, good for them I guess. That would be some amazing family time. Sadly what I think is more likely is that the parents want to enjoy their screens without the kids distracting them with requests for help on their homework. I know the stereotype is that the Baby Boomers were the most selfish generation and that they screwed the Western world with their greediness, but... I think Gen X and the Millennials are just as selfish. Parents like the ones you are speaking of being prime examples.