My folks have two huge ones in their yard, no real pruning done, just cleaned up after storms and some deadwoding. They are in rough shape, many hollow leaders, lots or rot on the bark, every time we have a windstorm I fear for them. Mom loves them and insists they are safe, I disagree. One hangs over one of the garages with a large leader. But still they hold up year after year.
Just saying you can't always judge a book by it's cover. Myself, I'd recommend removal of that one, but I don't know the weather where you are that well and that makes a big difference in things as well.