You don't need to have expensive ski trips in the holidays in order to have a good life filled with culture.
I have a great life which is rich in art, music, literature, social and cultural experiences, but we never had a huge amount of money. We certainly wouldn't have had trips to the Caribbean at Christmas (and frankly I would have found that a very odd thing to do, as for me Christmas is about Winter and cosying up!)
Pantmomime, yes we did that some years, but that doesn't have to be expensive. There are often local productions at village halls etc., a school production or whatever. One year we went to one at the local youth club that my dad had painted the set for, it was great. You don't have to go to the all-singing all-dancing £50-a-ticket one to have a great experience.
There are lots of ways in which having a lot of money puts some children ahead of others, and yes, you are right that those with more can afford more expensive tickets and holidays.
I guess I am saying that, even if you don't have money, you can provide cultural experiences for your child which they will equally value and benefit from. You just search out what is free/ affordable for you, or you make it yourself. You can create social and cultural experiences of your own, with your friends and family.
Honestly OP, you don't need a ski trip, and your kids are no less because of it. Please don't think like this.