Not in this lifetime.

.220 Swift is the fastest factory ammo available cartridge there is that isn't a wildcat, like the Benchrest cartridges.

My great grandpa loved his, and when he and my grandpa were hunting, my great-grandpa shot an antelope from 875 yards away, closer to 900 paces.
He practised with that rifle all the time, and with a gallon of luck, and skill, he killed that antelope, but it was one of those once in a lifetime shots, I wouldn't want to do that, more likely than not, it would be missed completely, since the wind could affect it.

But if I were ever to spend money on an expensive varmit rifle, I would get a .220 Swift, very high velocity and power. The only thing I would classify as close would be the .22-250 Rem, both those cals are what we call "smokers", you see the humidity coming out of the barrel whenever you fire it on a hot, humid, Tennessee summerday.

I really find it strange you didn't bother putting the .22-250 on your list.

Just for the sake of talking trash, the .204 is one of the biggest wastes of brass in firearms history.

No offense.

I just think someone screwed up when 45/70 was left out.

Well you are right about his choices being cartridges and not ammo.However your choices are all bullets and not ammo either.

IMHO

the 22-250 because of availability for those that don't handload
the Swift is a stellar round but not available wherever one goes
the 25-06 for larger varmit and deer sized game. More than managable recoil.
Next would be a toss up, a 7mm Rem Mag or a 300 win mag.
Anything requiring a bigger punch for me it's a 375 H & H unless a .40 is a requirement by law then it would probably be a 416 Rigby.
V max moly for the 22-250 and what ever load shoots best out of the rest. Premium bullets like partitions, tbbc woodlieghs etc.