I've had several of both. I don't necessarily consider one "better", just different. The 10 is able to propel heavier bullets to 38 Super like velocities, and might be considered a different class of cartridge depending on intended use. In a 1911, I think the .38 Super is more appropriate. I've had two 1911 type 10MMs, a Colt Delta and Kimber, and it always seemed to me that with the "real" 10MM ammo, my guns were really beating themselves up. A fellow shooter told me his Delta cracked though the locking lug area, top of the slide. Said Colt warrantied it, and he sold the replacement Delta without ever shooting it. Of the two, I preferred the Kimber due to the excellent case head support. FWIW, the several S&W 10XX series pistols I've owned handled the real 10MM factory and handloaded ammo with no issues whatsoever.
My Supers have all been 1911 types, but they all handled even the hottest 38 Super, 9X23,etc. ammo without issue. I do prefer the Supers that have the ramped barrels due to their superior case head support, as compared to the unramped Colt, etc. type barrels.
In any case, both excellent cartridges, that are both fun to shoot and reload for IMHO.
PS, Got to shoot one of the Coonans mentioned one time. Thought it was a pretty neat pistol.