The issue of .243 having more variety of bullets to chose from is really a furphy. 40 and 50 grain pills out of .224 and .243 calibres are for rabbits. You don't use every choice of bullet weight, you select a couple and use these. As an example, I use the 75gn in my 25/06 V-Max for varmints (read foxes, wild dogs and roos) and it is all I use. In the .243 the 87gn V-Max and I can tell you it is not the same as the 25/06. Even using the same bullet weight in the .243 does not cause the same damage as the 25/06. Wild dogs shot with the 25/06 out to 420m over a spotlight just fell over.
In a comparison of 130 wild dogs shot during just 20 days (spaced over 12 months), the .223 was great for shots under 150m and was equivalent to the performance of the 22/250 at this range. We actually shot 2 dogs at once with a .223 and 22/250 using the same 55gn Sierra and they both had the exact same damage at shorter ranges. Of course, as ranges increase, the velocity of the 22/250 at say 150m+ will be the same as the .223 at 50m. So the 22/250 wins.
I have had some dramatic failures in some of the .22 cal plastic coated bullets so find a good bullet that will deliver the goods at all angles out to 200m+ on a chest shot, every time.
Having said that, here I was tonight out shooting foxes with a .222
In my view, I would pick the 25/06, the .243, 22/250 then the .223 for longer range stuff on animals up to wild dogs/dingoes.