Not necessarily so. Even new factory ammunition varies quite a bit on OAL/COL and powder charge variance which will affect accuracy. Remanufactured ammunition is same or worse while my reloads will vary with less than .005" OAL (less than .003" with more consistent projectiles) and less than .1 gr powder charge (less than .05 gr with some powders like Alliant Sport Pistol). You won't see these levels of consistency with factory/remanufactured ammunition.
When I started shooting USPSA matches, I compared various factory ammunition and used the ones that produced smallest shot groups. After I started reloading, my group size shrank by 40% over best of factory ammunition.
My reloads average 2" groups at 25 yards using factory pistols -
https://www.thehighroad.org/index.p...ts-and-discussions.778197/page-6#post-9924922