I've used small magnum pistol primers in 30 M1 carbine rounds and in 357 Maximum rounds. Never an issue.
I tried some standard small pistol primers in the M1 Carbine as well but the primers were always pierced.
I've also used small rifle primers in pistol cartridges, like the 357 magnum, 38 Special and small pocket 45acp. Never had a problem with any of them. No misfires, no pressure signs etc.
Back in the day, it was often very difficult to come across reloading supplies of any sort. Especially if you lived in rural areas. We played with all sorts of combinations that would raise hackles these days.
There really isn't any reason to fool around with such things anymore. That may change drastically but at this point, trying to save a few pennies, without understanding what you are doing and the parameters of the components you are using is foolhardy.
If you decide to use small rifle primers in a handgun, reduce your load by 10% weight and try it with a few rounds. You will know right away what is good and what isn't.
Something to think about. When I used to have a Ruger 44mag autoloading rifle, the cartridges for it came in 20 round boxes. It didn't function reliably with the cartridges in 50 round boxes, intended for pistols. Dominion, loaded cartridges for the rifle and the pistols.
My old Saur & Sohn single action, which looked like the Herters offering, would digest the rifle fodder without a hiccup, other than it kicked like a mule and the hammer always was cocked in the quarter cocked position after each round. This didn't happen with the 50 round boxes of pistol ammo.
The above example, is only to warn you about maximum loads. BE CAREFUL. Likely, you won't blow a firearm up but you might damage it beyond repair. That Sauer, was compared against Ruger Blackhawks in the late sixties in blow up tests. The Ruger failed first. I was and still is a very robust revolver.