I have a 550-1 which works with .22 S, L, and LR, and did have once a 552 which also handled all three .22 cartridge lengths. I bought the latter for $25 (for use as a car trunk gun) because the stock was split off at the wrist. Some epoxy fixed that. I think the 552 is still available new, but I have not seen one. I knew that there was a 550 chambered in .22 Short only for shooting gallery use, but never ran across one nor do I know the details in the difference. It seemed a little pointless (except possibly for safety reasons) as the 550-1 handles .22 Shorts just fine, and back when I was a youngster, all I used in my 550-1 were .22 Shorts. They were considerably cheaper than .22 LR ammo back then, plus you could load 22 rounds of .22 Short in the 550's tubular magazine vs. "only" 15 rounds with .22 LR.
The earliest Remington version was the 550 (no -1) which differed from the later 550-1 only by having dual shell extractors. I never understood why Remington felt a dual extractor design was needed, but eventually they must have figured out that it wasn't. In the mid-1950s, the 550-1 added a grooved receiver for the tip-off scope mount and a fired casing deflector. Back in my high school days my girlfriend's father had an original Model 550 (no dash) from about 1940. It had no grooves and no shell deflector.
I consider the 550-1 to be the ultimate perfected design in a .22 autoloading rifle. All walnut and steel, well-made, man-sized, highly dependable, and will shoot groups like a good bolt action rifle. Scoped, and with almost any brand of .22 LR ammunition, mine will always shoot 10 shot groups at 50 yards within 1". It does even better with .22 Short standard velocity rounds. Try finding any other .22 semiauto rifle that will function well with .22 Short SV loads. The noise is not much more than shooting a pellet rifle, just a mild "pop". Without knowing for sure, I have understood from several sources that the 550-1 was highly prized in Mexico because of its ruggedness and that it would handle .22 Shorts reliably which were cheaper than .22 LR.