the remington 1903A3 have a reputation for the most accurate military rifle of WWII combatants. a lot of military shoots have either special categories or higher scoring criteria for springfields for that reason.
Something I have never seen. Nothing "special" about them, typical bolt gun accuracy. The Springfield Service rifle is a good shooter in '03 or '03A3. Depends on how good the particular barrel is. In competition the Springfield was replaced by the Garand, then followed the M14, 5.56 AR and now the 7.62 AR.