I wouldn't think twice about using the 7mm08. In some areas, I can see why the 7mm08 wasn't selected. In many hands, probably not.

However a man by the name of Bell hunted African elephants with a fairly similar 7mm Mauser. But many hunters are not Bell.

In some hands, a rifle may be adequate. In most, the expert will look for some more power. Especially if there is an alternative.