The 32 H&R is an outstanding jframes snub cartridge. Great cartridge all around.
Reference J Frames.
You get 6 rounds, versus 5. In addition to a lower recoiling round. Now in part, that can be minimized with specialty rounds like the .38 Short Colt like I offer, but aside from custom offerings, which people generally do not know about, most people are relegated to harder recoiling standard, big box store ammo. The typical box store ammo kicks fairly hard in a .38 Snubby.
Some people who have hand issues due to age, arthritis, physical size, etc, may choose to go with a rimfire, such as a .22 LR, or .22 Magnum. What most don't know, and soon discover is that on rimfire revolvers they use substantially heavier actions springs to ensure the ammo will fire. Many people have a very difficult time with the heavy rimfire DA trigger pulls on J frames.
On a .32 H&R or .327 Mag, you get added capacity (5 of .38 Special vs 6 of .32 Mag), as well as the lighter trigger pull, and better reliability of a centerfire cartridge.
For a snubby, they make a lot of sense for a good number of people.