Assuming the same twist rate, same style of projectile (HP, Spitzer, Soft Point, etc..)
The 223 should leave a bigger hole in the pelt since it's the bigger bullet.
From all I have read in the OLD shooting books though ... in this case the smaller bullet may leave a bigger hole if it has a faster twist rate ... causes more internal damage, and by extension, more damage during exit. By faster, I'd say the idea of comparing a 1:9 to a 1:16 ... if you are comparing 1:10 to 1:12, then i think the difference would be virtually un-noticable.
Ideally, something that doesn't exit (extreme Hollow Point, Varmint Grenade, etc..) woudl be ideal - then you would be left with only the entry dot.