Well, at least here in my Southern European country, it sure is. While there are many more elderly people dying alone than a couple of decades ago, I'd say most people I know still keep in close contact with their parents and grandparents, and they spend their last days (usually in the hospital) with them.
In fact, that's one thing I always found disconcerting in online conversations with US Americans - the willingness to just move hundreds of miles from their parents and grandparents. I've never considered myself a family-oriented person -I've always disliked family reunions and the "you have to go visit your great-uncle"- but the idea of leaving now, when my grandmothers probably just have a few more years to live, just sounds so ungrateful and selfish :|