If all you would ever do again is hunt elk or smaller game in North America, the .270 is hard to beat. Less recoil and a flatter trajectory than the '06.
But for anyone that values versatility and having plentiful surplus rounds available, not to mention interest in bigger game from time to time, the '06 wins.
If you have a big Magnum rifle for bigger game, then I guess you could have your cake and eat it too by using the .270 up to mule deer and the Magnum for everything else. But of course, that's costs more money. The '06 can do both in one package. But we all have choices.
Mauser Werke, Schmidt-Rubin, Colt, Walther, HK, Weatherby, Browning, Ruger, Beretta, Savage, Bushmaster, Marlin, Mossberg, Remington, PTR, Saiga, S&W, Sig Sauer....a few friends of mine