Several years ago a study was done to compare primers in one of the magazines, and what they found is that primers vary so much to the extent that one brand of standard primer was hotter than another brand's magnum primer. Some brands do not offer a magnum primer, or simply say "for standard or magnum cartridges". The gist is that you should rework any load any time you switch primers as though you are trying a new recipe, or going from a standard to a magnum. Most light loads don't care but certain powders such as Blue Dot can be very sensitive to primer changes. Certain powders sich as H110 or W296 need a hotter primer.
By the way, at the time, it was Federal small pistol primers that were hotter than CCI magnum small pistol primers.