FWIW, my own experience, I prefer the .30-06 to the .270 Win.

I have owned two .270s and now have .30-06 and .338-06 rifles for deer stalking. The .30-06 and .338-06 with similar sectional density bullets (165, 180 and 210 grain bullets) gives my shoulder more of a 'shove'.

The .270's apparent recoil was a sharper kick, but what I really did not like in the end was the 'ringing' muzzle blast and the headache I had after firing 20 - 40 rounds at the range.

I have noticed too, the .308 and .338 bullets at '06 velocities seem to put deer down quicker on heart and lung broadside shots. I think this is due to the obviously larger diameter creating a wound which bleeds out more quickly, resulting in quicker blood pressure loss and unconsciousness.