You know, actually thought of that, however when I tried moving the joysticks, nothing happened, so I am thinking it doesn't have controller support.
I think this has come up for one or two other people way back and I'm almost certain it was some small thing.
Obviously, a keyboard doesn't have pressure support (at least none that I know of), which is why this ones so weird to me, it's either walk or don't.
I've got a QA guy testing in about half an hour and I'm going to give it a go myself here in just a second as well.
Maybe try toggling the always run option in the options menu?
Could also try to teleport, save, close, and reload.
Edit: Can confirm that I am not experiencing the issue.