"Best to use whatever primer is called for in the reloading manual you are using."
Nonsense. A reloading manual is a guide, not a bible. Primers, like powders and bullets, are variables in the recipe and changing one can make a considerable difference in some cartridges. I have no experience with a .22-250, and few rifle cartridges except in general; but in handguns, 25-50 fps can make the difference in shooting a 4" group at 50 yards and a group half that size.
I use the .357 Maximum as an example. Most manuals call for small rifle primers, (specifically the CCI #400), but if you talk to long-time loaders (and silhouette shooters) using this cartridge you'll find nearly all use a small rifle magnum primer. Load data found in manuals for the cartridge typically run at pressures between 38,000 and 44,000 cup while the SAAMI specs call for a 48,000 cup maximum. If you combine the lower pressure loads with a "regular" small rifle primer, the result is soot on the brass signifying improper burning.