I have all four. If I was using all your criteria and rifle brand and I had to pick only one I would pick the 270.
I can’t argue that except the rifle:
I’ve owned Tikka rifles in multiple calibers. The .270 win was the worst.
I have owned 30/06’s in Ruger, Savage, Remington, Winchester, . I was not pleased with any of them.
I had given up on the 30/06 until I was offered a NIB Tikka Hunter.
I put a synthetic stock on it and as it was a T3 I pulled the recoil pad and put a limb saver on it.
I was almost in shock at the accuracy and the recoil was less than any other 30/06 I had ever fired. One hole 3 shot groups out of the box with Winchester 150 power points.
I’ve owned tikka rifles in .243, 7mm-08, .308, 25/06, .270, 30/06.
Typically they are amazingly accurate.
The .270 that I had was probably a fluke.
Weatherby s2 vanguard is amazing in .270 win.