Well, in our area, the cost of joining a club for skating is quite high - thus, many parents don't join "the club" as such, but, I would say that most do go skating for pleasure with their kids. Not surprisingly, it drops off in the teenage years, about the same time that going "to the movies with my MOM? like, that's so LAME" becomes a consideration
I would love to go and learn to skate, and to skate with mine more, but, never really learned how, and it would take me years to get to the session qualification level they skate at - and my doctor does discourage the activity due to joint problems and a couple of other things, however, we do hang out together in the gym for "off-ice" training. My kids, as teenagers and younger, have on occasion taken me out for a spin- it's fun, but, we do a lot of other things together and it's not the "most fun" we have together. And, for us - we never encouraged our kids to choose activities that "we" did and enjoyed, we encouraged them to go out and find what they themselves wanted to do, which is why I have, for example, a tiny violinist and ballerina, instead of, say, a photographer or a fencer ...