[.38 S&W] will not fit in many guns chambered for the .38 S&W Special.
I had always assumed this to be the case as well. I found myself with too much time on my hands one winter afternoon and decided to check it out. At that time I owned 19 revolvers in either .38 Special or .357 Magnum and exactly one (an S&W M32-1) in .38 S&W. As a result, I had a couple boxes of Remington .38 S&W ammo hanging around. I took a few of the .38 S&W factory rounds and checked each of my .38/.357 revolvers to see if they would chamber. Much to my surprise, every one of the factory rounds I checked easily dropped into every chamber of all the .38/.357 guns
FWIW, I also handload the .38 S&W and simply use regular .38 (i.e., .358" lead) caliber bullets, rather than hunting down the "correct" .360 diameter. The bullet is a bit of a sloppy fit in the case until you roll crimp them, but accuracy is perfectly acceptable for a little snubby like the Model 32 (aka Terrier).