I think you could notice the difference. We shoot 200 yard offhand matches at our club (Schutzen). They allow high power to compete with the Black powder cartridge rifles. Course of fire is 25 rounds per target/2 targets per match. Standing offhand, no sling, rest etc.
I have shot matches and 50 round practices many many times with bolt action 308, 30/06,270,243,6.5 Creed, 6.5 Prc, 25 Prc, 223,222, and 223, 6Arc, 6.5 Grendel in gas guns. Without a doubt the lower the recoil the better the 50 round score is.
To date my Sako Vixen varmint in 222 shooting 40 gr. bullets at 2400 fps is by far the most consistently best scoring gun I have shot, and it's not even close. I just finished an 11 lb. 300 Blackout bolt gun to use for this. I am shooting 100 gr. bullets at 2000 fps.