As already said, this question has been asked for over 75 years. The 1st commercial .270 rifle was made in 1925.
The question that hasn't been asked is, what are you going to use it for? The .270 Winchester is fine for deer and black bear. These days it is considered a bit light for elk size critters, but if you have the skill, it will do the job.
The .30-06 has the advantage of being able to handle bullets up to 220 gr. which may or may not play a part in your selection of caliber.
RE: Accuracy and trajectory. There is no practical difference. The .30-06 was used for many years in match and sniper rifles with excellent results.
RE: Recoil. Check the tables yourself. With typical loads in a 8 1/2 pound rifle the .270 produces about 14 ft/lbs of free recoil with a 130 GR. bullet. The same rifle in .30-06 produces 15.5 ft/lbs of recoil with a 150 gr. bullet. I doubt that most people would notice the difference.
I think the .30-06 has the edge in versatility, but you wouldn't go wrong with either. The truth is that any reasonable rifle of any reasonable caliber will work fine for most purposes. The skill of the rifleman is much more important.
For most