IN THE REAL WORLD with similar case capacities, identical bullets and the same pressure rating 10mm and 40s&w performance will be similar (within 150 fps)
Show me a .40 S&W load that hits 1,200+ with a 180 grainer.
The real-world spread between top .40 loads and top 10mm loads is more like 250 to 300 FPS.
As barrel length increases so does 357's advantage over 10mm. Saying performance will be identical because pressure and case capacity are the same is a gross oversimplification and ignores the very important factor of bore case ratio. 10mm uses faster propellants at lesser volumes than 357 mag can because due to the tens higher expansion ratio pressure drops much faster as the bullet travels (same capacity bigger bore) this is why the 10mm in a carbine like its other autoloder cousins sees very little velocity gain in longer barrels.
Don't believe me see BBTI
http://www.ballisticsbytheinch.com/10mm.html
OK, lets look at the mid bullet weights in both 10mm (180 gr.) and .357 (158 gr.) from that chart, and examine the velocity/energy in an 18" tube vs. a 6" tube.
10mm 180 grain
18": 1,573 FPS & 989 ft/lbs
6": 1,428 FPS & 815 ft/lbs
.357 mag 158 grain
18": 1721 FPS & 1,039 ft/lbs
6": 1,402FPS & 690 ft/lbs
Yes, the .357 can be loaded hotter than that-as can the 10mm. Likewise, if one were loading 10mm for a carbine, they'd use slower powders like Blue Dot and AA#7. On the same note, .357 optimized for short barrels uses faster powders. Of course, nobody is loading 10mm comercially with slow powders because, well, very few people own a 10mm carbine, so there is no real demand.
If I ever actually buy the Olyarms carbine, I'll revisit this with some data from appropriately loaded 10mm carbine rounds-I promise I can best those figures by quite a bit. But since I view pistol caliber carbines as being mostly useless, don't hold your breath.
Now, in the reverse situation, the 10mm suffers
far less from shortening the tube; Cut to 2", the 10mm/180 is still getting 1,111 FPS & 493 ft/lbs, while the .357/158 load in a 2" barrel has dropped to 914 FPS and a pitiful 293 ft/lbs. And if we look at the load that gave the .357 the most oomph in a rifle, when you cut the tube to 2", you now have a .380 ACP (with tremendous muzzle blast).
Regardless, all of this debating with carbines ignores the OP, which has nothing to do with carbines, nothing to do with revolvers, and nothing to do with the .357 magnum. He asked about the 10mm, and it is, by far, the most versatile autopistol cartridge around.