There is a lot information on primers out on the internet. I found these links below in one search. I don't know how rigorous the testing was. I just try to use what matches the reloading data I am following. I think it was "Scenar Shooter" that wrote that SR primers can have trouble with consistent ignition/accuracy in medium capacity cases in the extreme cold weather he hunts coyotes in. I also remember he was using the Russian primer brand with great success.

http://www.accuratereloading.com/primer.html

https://www.accurateshooter.com/technical-articles/primers-and-pressure-analysis/

http://castingstuff.com/primer_testing_reference.htm

http://bulletin.accurateshooter.com/2017/04/ultimate-large-rifle-primer-shoot-out-16-types-tested/