Winchester used to be my favorite for the simple reason they were the least costly and worked.
Then in 1999 Winchester made their primers more sensitive, made them brass finish, and their small rifle primers pierced at loads that never bothered the old nickle plated primers.
I don't trust more sensitive primers in my Garands/M1a's, and there are reports of slamfires with brass finish Winchester primers in these mechanisms.
Federal primers are just excellent in handguns and bolt actions, but Federal primers are the most slamfiring primer ever in Garands/M1a's and I don't recommend them at all for gas operated rifles.
I bought bunches of CCI #34 "Mil Spec" primers and they are an excellent primer.
Since the price of American manufactured primers went sky high, I tried Tula and Wolf. These are excellent primers and the TULA 7.62 are advertized as less sensitive, "military primers". They shoot very well in my 30-06 and 308 loads. They are really an excellent rifle primer. My Wolf pistol primers have all gone bang and are milder, velocity wise, than my American primers.
Avoid Winchester and Federal for gas guns, buy by price.