Only problem that I could foresee is that the rifle primers have a heavier cup to withstand higher pressures of rifle loads so a pistol might not have a heavy enough primer strike to detonate but it sounds like you don't have a problem with that. The 357 Max uses small rifle primers because of the higher pressures.
During the obama years, I became concerned about running out of small pistol primers. I had ( and still have) plenty of small rifle primers.
I did some experimenting with CCI 400 and Winchester srp; using them in 9mm and 357 magnum and 45ACP small pistol primer brass.
Guns used were 3 S&W M&P 9mm pistols, an M&P 45, an RIA 1911 9mm and a S&W 586. Probably 100 9mm rounds fired, 50 357s and 25 45s.
Had zero problems of any kind. All loads were just above minimum book loads. So if I run short on small pistol primers, I have no qualms about using small rifle primers in any of my pistols.