If we are going to talk only of the 44 magnum then it comes to magnum primer or Non magnum primer.
Loads with 2400 I use a regular primer.
Loads with H110 I use a magnum primer.
Powder choices have a lot to do with this.

Is your question directed towards Brands? Other than CCI ? I do use load references from the Bullet makers Books, and the reason is, if I go with near max or max loads then the primers that are in the recipe are usually the best choice. Key word being usually ....