I still say; ‘Six of one; a half dozen of the other;’ and, for pistol combat, I already know that I’ll do better with the 357 magnum. For hunting applications I’m, also, going to stay with my initial recommendation for a longer barrel, too.
(Among others, be sure to read JohnKSa's post!)
Here's a nicely prejudiced excerpt from an article in Wikipedia. Not that it's inaccurate; but, needless to say, I think several of the author's conclusions are slanted in favor of the 10mm.
The 10mm Auto falls between the .357 Magnum and the .41 Magnum in muzzle energy for popular loadings. With certain JHP bullets, these energy levels may produce an effect known as hydrostatic shock in living targets. The existence of this phenomenon has been questioned; however, some commercial loadings are as follows:
.357 Mag: 584 ft•lbf (792 J) for 125 gr @ 1450 ft/s;
10mm: 750 ft•lbf (1,020 J) for 200 gr @ 1300 ft/s;
.41 Mag: 788 ft•lbf (1,068 J) for 210 gr @ 1,300 ft/s (400 m/s).
The 10mm load given is about maximum for SAAMI established pressure levels, while the .357 and especially the .41 Magnums are commonly handloaded to significantly higher levels than these samples.
However, top 10mm loads will equal or exceed top .357 magnum loads from similar barrel lengths. Recoil energy of full-power loads is also comparable, being 9.4, 12.4, and 15.6 ft•lbf (21.2 J) respectively for these loads (computed using the same powder and weight of gun).
The 10mm Auto may be used for deer or other medium game at short range. Ted Nugent is known for using a Glock 20 with an extended barrel when hunting wild boar.