I have noticed this issue since the 2.28 patch, I thought it was controller or USB cable, and have replaced both and still am having the issue.

In particular I am using a Dual Shock 4 over USB (not even wireless) with the controller mapping that allows it to function in game.

Many times it shows up after selecting a menu option or backing out of a menu, but I've also had it happen in-combat, very similar to the old auto-run bug.