Just finished Finn Aagaard's article "Shots with the .308" in the compendium "Finn Aargaard Selected Works." The general tone would be that he approves! Apparently in thirty years in Africa, he only had one client use a .308 Win on safari, but with the exception of an elephant, for which the client borrowed Finn's .375, the client did a fine job on plains game. After moving to Texas, Finn had lots of clients with .308's, and used one himself, to generally good effect.
Any critter lost was lost to failed marksmanship, not inadequate ballistics. But then, Finn says that about anything from a .22Rf to a .577!