It's heavy enough for everything up to a raccoon, I'd say. I know there's been photos of dogs and large male raccoons tearing through HWC.In my experience hardware cloth is pretty heavy duty... I'm not sure why I would need to add the welded wire if I do hardware cloth?
We haven't had any problems with bears, but they are around. I'm guessing they aren't going to be a big issue.
My run definitely isn't predator proof but it's mostly predator resistant for our needs thus far: chain link with concreted in posts, HWC up the bottom few feet and out, and netting over the top for aerial predators. We do have bears but again, lazy ones. Even chain link wouldn't do anything if a bear wanted to go through it.