The aspects I like about the 223, 22 250 and 243 is that these cartridges are not complicated to reload and are well established performance wise. Components are more practically available that non-standard cartridges. I've loaded and shot all three extensively and they leave nothing to be desired performance wise.K22 - thank you for the very detailed response to my question.
Others have mentioned the 223 bolt and it makes sense, especially considering powder consumption, barrel life and I already have the dies. I know the 243 and 22-250 are time-tested varminters and offer a lot of versatility for reloading and other applications. At this point the 223 sounds more practical, but the 243 and 250 sound more fun...
For the best "pure" and most versatile varminter I would select the 22 250, the extra reach and energy is superior to the 223 Rem. The great 243 Win shines as a dual-purpose caliber. However, for varmints and predators where shots are predominantly under 300 yards, the 223 Rem shines with its low recoil and economy.
There is a lot "hype" about all these newer cartridges but the above three will do it all especially with tailored reloads. However, today's factory offerings are significantly better than when I used factory ammo in the late 60's and early 70's so going the factory ammo route is viable performance wise.
If you hunt and shoot long enough, you will learn within reason, that the most limiting factor is not the cartridge, it's the shooter.