kinda an unfair comparison when bullet weights are that far apart. but yes, the 7-08 will have less felt recoil with that lighter bullet.Here's the actual performance numbers on my AR308 vs AR708: (Max Pressures)
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There is less felt recoil with the 708 AR load. They both perform equally to 400yds.
my cousin's husband also likes the 7-08 over the 308win when it comes to recoil, but i changed his mind when he shot an ar in 308win i built. his response was "it feels like i'm shooting my 223!" he shot m80 147fmj's and 180pp's in it. big reason to love ar's is you can tune recoil out even with top pressure loads.
that extra 2k in pressure the 308 has over the 7-08 makes a difference