Yes, for me the dump stat definitely changes with character, but I do find myself gravitating towards low strength characters. I also often dump constitution, or at least have relatively low constitution, which is more a role playing thing as it tends to suit my favoured characters and I generally enjoy working around limitations. But then I find myself having a blast playing a high strength, high constitution barbarian.
I voted strength here, though, as I’m sure it’s my most frequent dump stat.