Did you mean Winchester T-22? Remington doesn't make T-22 but I've never been happy with their std velocity stuff; too many misfires.
No, it's definitely Remington (might not be "T-22" though) It's their midpriced target ammo, in a square yellow plastic 100-pack. I still have a box somewhere, I'll look it up. About 10% have no primer; they never fire after 3 or more good firing pin hits.
Oddly enough, I have no problems with their cheap "Golden Bullets" that everyone else hates.