After I posted this I ran into some more info on this and it is basically that the Remington primer is recommended because it has cup thickness to handle the higher pressure loads in the 17 Remington.
Apparently there was a problem with piercing primers with some other brands due to a thinner cup.
CCI 450 and Fed 205M were a couple that were recommended as substitutes. Not being able to find Remington primers around here, I went with the CCI primers and everything looks okay so far.