This really will vary depending on what people value. Personally, I feel that exploring culture and history is beneficial to all people and that includes children and teenagers. However, I’m sure there are plenty of people who don’t explore those things at home and so therefore don’t necessarily explore them on holiday either!
I would like to take my children abroad to do that, because it’s something I enjoy doing. I don’t look down on beach/lounging holidays, it’s just never been enjoyable for me. I do think there is a benefit to seeing different places and experiencing a different way of life, as others have said it ‘broadens the horizons’, but for a start you can do some of that in the UK. We have different lifestyles, plus different access to culture and history, across the UK, so it doesn’t just have to be abroad.
We can’t afford to holiday abroad (or even in the UK!) but expect to increasingly be able to do this in the coming years. Our children are still very young so whilst they would probably benefit from that now, I think as long as we get to do it at some point they will reap the benefit. As adults they may then choose to do more.
Whilst we’re here though, we regularly go to museums, historic sites, try different foods, all of which they enjoy, so they’re still getting some of that at home. When we can travel the biggest difference I think they’ll notice immediately is a different way of living, which I think is good for them to know that our way isn’t necessarily the ‘right’ or only way (you can discuss it or watch shows but experiencing it is much more tangible), and then they get the opportunity to experience a broader range of history and culture too.