I loaded Long Shot in my .357 magnums with normal SPP and never had any problems.
My load was 7.3 gr of Longshot with a 158gr Xtreme plated SWC crimped to the canular. Just a normal roll crimp, nothing heavy. My cases were trimmed so all roll crimps were consistent.
I wouldn't worry about it much, if you have magnum primers use them, if you don't, use what you have. Mine all worked and seemed to be accurate.
I do have a note on my spread sheet that the load was to hot for standard plated bullets, and a velocity of 1275fps. That was back in 2014.
Federal small pistol primers burned the hottest in a test Walkalong did years ago on the effects of changing to a different primer, in a load where all else stayed the same. He was Chrony-ing the loaded round to determine which primer gave the most velocity. IIRC Federal was the highest vel.
Edit to add:
Hodgdon data.
Hodgdon Longshot 0.357" 1.580" Min 7.3gr@ 1,258 fps, 31,700 CUP Max 8.4gr 1,394fps 43,200 CUP
It has good velocity.