I don't see anything anywhere to lead me to believe that an automatic would not work perfectly in space. If anything, inertia given to the watch rotor would not be countered by gravity, so the most simple movement in any direction can contribute to winding the watch.

Colonel Pogue certainly had no trouble with his Seiko, and your "evidence" based on Reinhard Furrer wearing another watch is flimsy at best considering that all astronauts usually wear two watches. Also, let's not forget that Fortis has been providing the Russian space agency with watches powered by automatic movements for more than a decade. If there was any issue with those, I think we might have heard about it by now...