With the two loads you listed the .308 will be "harder hitting". That being said however, I've had several experiences with both these cartridges and I can tell you in my honest opinion, on a behind the shoulder shot I would take the .243 every time. On identical shot placement using both these loads (I used Hornady Interlock 100 gr in my reloads) and Remington 150 gr CorLokts the deer I've shot always ran when hit with the .308. Some as far as 50+ yards. With the .243 all but one dropped where it stood.
So you can't always go by what's on paper. Now I'm talking hunting in NE and NC PA where shots rarely exceed 100 yards. You get into areas where you can shoot long distance then I would say the 308 would have the upper hand.