For me type trumps brand in most situations. If switching primes I use the starting load, and work up.
Exceptions to this are using standard Remington Small Rifle primers for loading .223, There is a warning on the box about not using them. I made the mistake early on and pierced one in my Savage. I used the rest of them for 9 mm which they worked just fine for.
Oh I also use CCI small rifle primers in place of pistol primers if in a pinch, though I check with a starting load and work up. Also I check them in each pistol I am going to use them in, to assure the firing pin will crush them.
No matter how many times you do it and nothing happens it only takes something going wrong one time to kill you.