I only offer my 2c for the 25:06 mentioned, the ability of a any calibre to shoot accurately is of no issue, all will shoot well with good ammo, the 25:06 however will shoot a wider variety of bullet sizes just heavier and much faster than any 243 will.
I have a soft spot for the 25 cal rocket, will shoot flat and reach out to long range with sufficient force to to take deer easyt at 300 yds, and sure the 243 will do the much the same but the 25:06 has greater knock down at longer range, the choice should be easy.
The 25:06 might be considered as a 22:250 varmint round on steroids, the ability to use 120g pils make the long ranges more practical, the only rifle I use over and above the 25 rocket is the 7mm RM, which will take nearly anything to ranges that make a 24X scope versitile.
Yes a 25:06 over the 243 is no contest, although at closer range the 243 is a very good utility calibre that is noisy but very easy on the shoulder, a bit like the 308 is in it's calibre range, and a must have in your collection, simple, more guns = better.