All the NSAIDS have the potential to cause bleeding. I think it's a bit of a lottery. Most people are lucky and don't have any problems at all with them. but others aren't as fortunate.
They are a useful medication in some circumstances, but I feel they are often used casually, as a sort of cure-all. My husband recently had an examination that showed he has a small stomach ulcer. The anaesthetist prescribed Ibuprofen for him afterwards. When I queried it with the surgeon, he said "On no. He shouldn't be taking that, of all things!"