Thirty Ought Six sounds way cooler than Three Oh Eight
I think you're on to something! We should start calling it the "three ought eight" !
As to the topic... as was stated very eloquently by kraigwy (and oldgrump), unless you are wanting to shoot bullets over 200gr, just flip a coin.
If reloading, it might be slightly
cheaper to load the "three ought eight"... smaller case, yada yada... but the difference would probably be miniscule. Performance is a wash.