As 627 noted, shouldered cases run into problems in revolver cylinders.
The greater the shoulder angle, or the higher the pressure, the more liklihood there is that the casing will try to back out when the gun is fired and lock the cylinder up.
S&W found that out in the 1960s with the Model 53 in .22 Jet. The chambers and cartridges had to be kept absolutely free of oil, or the cylinder would lock up when the gun was fired.
Even if the chambers were cleaned with lighter fluid or another degreaser, as was recommended, it was not at all a sure thing that the gun would continue to function.
This problem would likely be even more pronounced with .357 Sig, due to the Sig's high operating pressure, and short, sharp neck contour. The .22 Jet had a pretty long, sloping neck contour.
One sure fire way to help solve this problem is to reduce the ballistics of the round being fired. But why would you do this? Then you'd have essentially a rimless, bottlenecked .38 Spl.