Taking care of kids is not that hard or much of a sacrifice really. It would be super easy if things were even more communal. There's just really not that much great stuff that you are missing out on after like 35/40+. In truth most of the stuff geared to people in that age range is designed for people with kids. I think a lot of people would prefer to have more than 2 kids. The major issue is that SO much stuff is designed for the family of four. Yeah there's 3rd row seating, but it's annoying. Furniture that comes in 2 packs, theme parks, restaurant tables, vacation accommodations, etc. Because of modern life and the things we are accustomed to the logistical management burden of more than two children is very significant.
Up here in Canada, according to statistics, only 20% of couples want to have 3+ children. If I recall it correctly, it’s not that they have it, but plan to, which might not even happen due to socioeconomic reasons.
I don’t think majority of young people want to have 3 children though, as you mentioned. Even if I do an extremely unscientific look around in my circles, the number of couples who want that is 0. I obviously might be in a bubble, but it’s a fairly common sentiment especially for my age group.
It’s way easier for me to babble, because if I was a father I wouldn’t have to go through pregnancy period. Statistically it also shows men want more children than women, and that’s fair because it affects our physical health way less.