I noticed that I failed to mention what BC I used for the 338 bullet. I used a BC of .454 which corresponds to the BC of a 338cal 225 gr partition.

I'm not try to claim that the 308 is an inferior cartridge. Quite the opposite. The 308 is an excellent round. I'm simply showing that what you claimed was "not possible" actually was. Remember there are no absolutes, we must assume everything is possible until we prove that it isn't.