I thought the OP and thread was comparing the 243 Winchester, 270 Winchester, and 25-06 Remington. Cartridges that at one time were wildcats, but then introduced by big firearm manufacturers. So lets talk about them.
Those that love the 270 do for many reasons, but Jack was the biggest advocate for it. So dad's bought them and then their son's, so came it's popularity. After seeing the results from the 270 on game its popularity grew. The 25-06 enhanced the advantages of the 270 over 30-06, the 25-06 shoots flatter than the 270 with a little less recoil. On medium size game there is virtually no difference between them, on larger game the 270 has an advantage. The 243 was introduced as a dual purpose round and was bought by fathers to outfit there sons and daughters with a low recoil deer capable cartridge. Dad's liked the gun for coyotes in the off-season so the popularity grew. On deer the 25-06 has an advantage over the 243 with its heavier bullet, the 243 has an advantage with less recoil.
In comparing the 3 cartridges the 25-06 is the best compromise of the three. I enjoyed the 25-06 as a dual purpose round. I hunt deer more than coyotes so the 25-06 gets my vote.