I already run barefoot occasionally and my running style doesn't change and I have no pain when doing so. Well, actually my running mechanics does change but as a function of speed and not if I'm wearing running shoes or not. You're wrongly assuming that "jumpy" means extra vertical oscillation. This is not necessarily the case. The ideal running form changes with speed and from athlete to athlete. Moreover we can talk about the most efficient way of running overall, which is very slow and with little vertical oscillation, or the most efficient way of running at a certain pace. These are very different questions. Also you probably shouldn't diagnose poor running form on the internet based on such little information.

I have a feeling we actually agree on many things, but unsolicited advice especially based on unjustified assumptions just bothers me a little.