A primer IS NOT a primer, IS NOT a primer, IS NOT a primer.
Unfortunately various brands have different characteristics. Some have thin metal cups vs thick metal cups in others; some have more power than other; some just make some loads shoot more accurately.
Also take the example of the Remington 6 1/2, it is listed as a small rifle primer. The problem is it was designed for low pressure rounds (22 Hornet) and cannot be shot safely in high pressuer rounds like the .223.
As for size here are three sights that have charts comparing primers:
http://www.lasc.us/primerchart.htm
http://www.realguns.com/loads/primertab.htm
http://www.lasc.us/primerchart.htm