"Lets assume I shoot both guns equally well" - well, that certainly will help stir the pot and wake up a bunch of gents!!!
However, for practical purposes (perish the thought) I do NOT buy your assumption.
You're already 2/3s the way there with both guns exhibiting relatively modern "short" barrels and the straight/English hand stock. The missing 1/3 is your actual NOT ASSUMED performance with either.
Several rounds of LOW GUN skeet - NO riding the target beyond the center post allowed - will quickly identify the gun your body prefers … your headbone is only one part of the equation.
My proven Tobin 16Ga wand will be "live" six days from now for ruffed grouse in central Ontario. My now lessened perambulation means I won't hunt a great distance, but I will hunt it well. BEING THERE is what really counts, especially with your hunting pardner - amid the turning/turned leaves. The specific gun used is quite secondary IMHO, - and your assumption DID generate a very interesting thread.