I've read countless threads on whether there is really any drawback to shooting .38 in a gun chambered for .357 magnum. The only thing I can really confirm is that it causes a ring of crud to build up in the gap. The same question hasn't been asked much about shorter cartridges in guns for .327 and I'm curious. The difference in length is much more pronounced when comparing .327 to .32acp or .32 S&W.
Carbon rings are definitely an issue, if you want to shoot a bunch of 'shorties' without cleaning before going back to a longer cartridge.
However, the biggest drawback with .32 Auto and .32 S&W in .327 Federal chambers, is the ridiculous jump to the throat.
When the bullet is launched from the casing, it ends up traveling completely unsupported through the chamber, until it smashes into the ball end at the other end of the chamber ('ball end' is the proper term for a revolver chamber throat). With .32 Auto and .32 S&W, you're looking at about 5/8" where the hot gases rush past the bullet on all sides, and the bullet can be tumbling before hitting the ball end.
Performance is significantly reduced, and often erratic (in my experience). Accuracy suffers greatly, and I can't imagine it being all that great for the cylinder.
That's one of the reasons why I prefer .32 S&W Long for light loads, and use it more than the shorter brethren. The jump is notably shorter.
When I do reload .32 Auto and .32 S&W, though... I load HOT. The .32 S&W cases get max pressure .32 Auto loads, and the .32 Auto cases get something more akin to .32 S&W Long loads. The loads are well within the limits of what the brass case and primer can handle; and they make performance a little more predictable and reduce the chances of a stuck bullet.
But non-reloaders don't really have that option.