I have a saved game with this bug active and some fraps footage if it's needed. I have the same issue, but mine was caused by poison, it still allows you to gain experience and level up while in this "state" and you can still use skills (except for stealth) as far as I'm aware (tried using omi tool).
More testing - using a stim pack doesn't increase the health. I dunno if any of this is useful to you but, meh!