I've been a .270 shooter for over forty years. I guess some might say I drank a bit of the "Kool Aid" early on as passed down from my father who had a fabulous custom .270 FN Mauser action built in Germany in 1951 while in the service. And yes, he was an avid reader of Mr. O'C's writings, among others. That said, fabulous shooters that they certainly are out of virtually any rifle chambering it, and after owning a few .30-06s as well (just because) do remain modestly biased, all these years it could have just as easily been an '06 . Tomato, tomahto, like a lot of folks have commented. Also as the one poster said so well, lots of pros to both, few cons to speak of for either. (Yes, there are fine points to argue either way)
I do think, as has also been mentioned, if deer (of any size) is the largest quarry, the .270 is as far as you need to go. It IS the quintssential deer rifle, IMO. If you already have a .270 (only or as your largest cal.) and going elk hunting, I certainly wouldn't feel the need to get another rifle. OTOH, if starting from scratch and elk are at least equal with deer on the anticipated hunting agenda, I might opt for the '06- "just because"
Btw, Jack really liked the '06 as well. Tales of his being over-enamored with the .270 are exaggerated. They've made for good, uh, tales. He certainly had his opinions and really liked the .270, obviously one of his faves, but was actually very objective as a keen observer and commenter on the art and science of firearms, cartridges, and hunting--and had many favorites...loved lots of calibers/cartridges in the .270's general vicinity, and below and beyond for their respective purposes. He'd find discussions about the Jack O'Connor Kool Aid amusing.