SR primers have a thicker cup than SP primers. IIRC, WW primers were fairly stout, but what pressures are you going to run in your loads? SR primers should be good to 223 levels (50K psi) and your SRM were good to at least 60K as they have a thicker cup than the SR primers. In my 353 Casull, I use sr primers unless I am nearing top loads, then I will use the srm. I am talking about rem 7 1/2, wolf srm or cci 450's. BR-4's also if I had any. CCI 41's were designed for 5.56 Nato stuff, but don't know if the 353 has enough to set those off. They might be the same as 450's or might be a bit tougher.
Now, I have read that the older ww sr primers in the white box had thicker cups than the blue box version and were OK for 5.56 nato spec ammo, but the blue box primer should be limited to 223 pressure levels. Over at accurateshooters, they have a pretty good discussion on primers and what primer should be used for what ammo.