If you are asking if the pistol is
designed to lock open upon last shot, the answer is yes it is.
It has been my experience that depending on the particular pistol and depending on the particular magazines, some do not lock open with soft, easy, casual handling.
You might find that if you were to snap that slide open with an empty magazine in place, maybe it does indeed lock open as designed.
The S&W 422/622 series was S&W's first real attempt at a budget friendly rimfire family-shootin' fun plinker pistol. These were made from 1987 to 1996. I think these are terrific guns and I also believe that
every pistol that "replaced" these in the S&W line-up has been much, much lesser. The 22-A series was a downer and the S&W Victory has had a rocky introduction with plenty of QC issues.
This series of guns included the later 2206 (full stainless where the 422/622 are alloy frame) and the 2213 and 2214 compacts.
These guns share magazines with the Model 41/46, so you can always try new mags for them, but note that the orange follower 12-round capacity magazines were only offered for about two years. All of the million other 41/46/422 magazines are 10-round capacity except for the 2213/2214 magazines which are 8-round capacity.
There has been a renewed interest in these pistols in the last decade as the odd low-barrel design has found itself to be a decent suppressor host.