Historically, bottle-necked cartridges have not worked well in revolver chambers.
The .22 Remington Jet in the K-frame, which is essentially a .357 Magnum case necked down to .22 caliber, was an equally hot number, throwing a 40 grain bullet at 2,000 fps.
Unfortunately, at those high pressures, the primer would back out and tie up the cylinder.
Part of the bugaboo appears to be the generous headspace required between a revolver's cylinder and its frame.
I suspect that the same would happen with the .357 Sig as did the .22 Remington Jet, since the SIG and Jet operate at high pressure.
This doesn't happen as much with straight-walled cases (.38 Special, .357 Magnum, .44 Magnum, etc.) because the sides of the case grip the chamber, keeping the case from thrusting rearward.
Nor do you see it as much with bottle-neck cases like the .32-20, .38-40 and .44-40 because their pressures are kept low.
Bottle-necked cases act like a wedge, failing to grip the chamber walls and thrusting back.
The .256 Winchester Magnum, a .357 case necked down to .25-caliber, was introduced after the .22 Remington Jet's failure. It was never offered in a revolver, only in single-shot handguns (and some Marlin 62 rifles). Since about 1970 I've heard a few rumors that a manufacturer planned to resurrect the .256 Win. Mag. for revolvers. Nothing ever came to fruition. Undoubtedly, tests revealed it was not a good idea.
Would the .357 Sig work in a revolver?
Perhaps. I'm not optimistic.
Besides, what's the point? The .357 Sig was designed to duplicate the .357 Magnum's performance with 125 gr. jacketed bullets, in a semi-auto.
If you want a revolver to do that, just buy a .357 Magnum.