The key to preventing slam fires is to make sure your primers are seated ever so slightly below the level of the case head. If you do this on every round, it doesn't make a bit of difference what primer you use.
Primer sensitivity is the primary cause of slamfires, along with a darn free floating firing pin.
It is very simple. Just chamber a round. See the dent on the primer caused by the firing pin? If the firing pin has enough energy, and the primer is very sensitive, the primer will ignite.
Seating the primers below the case head is part of a series of steps to reduce the risk of a slamfire.
First full length resize, best practice is to use a small base die, and size the case to cartridge headspace gage minimum.
Seat your primers by hand an inspect to see that all primers are below the case head.
Use the least sensitive primers around, which are the CCI mil spec line. Under no conditions use a Federal primer.
I've tried the #34s on my M1A too, and was not inspired by their accuracy either
CCI #34 primers shoot just fine.
This is a 100-8X target shot in competition with my M1a, during the 200 yard sitting rapid fire stage. It is seldom I get to see my target in the pits, they are usually pasted over by the time I get down there, and it is seldom that I shoot 8 X cleans with a M1a. This group was shot with Nosler 168's, CCI #34 primers and surplus 4895.
This is a 100 yard target I shot slow fire prone with a 30-06 Garand, I was practicing. This was also shot with CCI #34 primers and IMR 4895.
It is my considered opinion based on "on target performance" that CCI #34 primers are fine primers.