Before he died, I used to correspond with the late African PH George Hoffman, inventor of the 416 Hoffman, which eventually became the 416 Remington. He was a real Texas gentleman!
In our correspondence he told me he'd taken a bit over 50 elk, all with the 270, and that he never found it wanting.
Given the man's experience world-wide, I took him at his word and started "de-magumizing" my own elk hunting arsenal. In the many years since his death, I found his advice to be spot-on and I'm glad I listened.
The 270, like the 308, "kicks a little and kills a lot."
And I'd put the 7-08 in that company as well.