I have used small magnum pistol primers in 223 with no problems. I have read that the magnum primers add about 100-200 fps speed to a given load over a standard primer. Also, different powders do the same thing. Like most everyone said, with a magnum primer in a small case, start with the MINIMUM recommended load for the given powder, then work up if you don't like the group.
For instance my Lyman manual 48th edition says for a 100 gr fmj 380 auto bullet:
2.6g of Unique minimum load pushes 725 fps at 12,000 C.U.P. pressure with standard primer.
3.6 g of Unique maximum load pushes 1,013 fps at 15,200 C.U.P. pressure with standard primer.
If you use a magnum primer with 2.6g of Unique it might push it to 925 fps or maybe 825 fps.
That is why you should start with the minimum load.