I don't know that there is an absolute answer to this because it depends on the shooting aid used in the field, the quality of the scope to make precise range adjustments, and of course the skill of the guy behind the rifle.
I use shooting cross sticks which enable me to move about easily and the farms where I hunt , rarely do I get a safe shot opportunity beyond 300 yards and most are under 275 yards. Also, while I have quality scopes, they do not possess reliable dial up capability thus I have to use hold over on shots beyond 225 yards for my site in. Therefore, these conditions limit the range I shoot.
With my most precise varmint rifles, I'm confident out to about 275 yards using the 223 off a shooting stick. When I shot the 22 250 years ago, I took a number of hogs in the 300 yard range. After I shot out the barrel I didn't replace it because the 223 Rem handles the vast majority of my shots. With my last hog taken I'm at 1,899 confirmed kills since 2000. Been laid up with a bad knee this spring so I haven't been out much yet this year.
I have two friends that are long range specialists ground hog hunters. Both use custom barrelled 22 250's and shoot off a portable field bench and have the elite rifle scopes with reliable dial up capability. They routinely take hogs out to 500 yards but that style of hunting would drive me nuts, sitting in one spot for "X" number of hours. They also travel north of the area where long range shots are readily available - not so much where I hunt here in eastern PA.
There is one other issue to ponder. While all my 223's that I hunt varmints with have 12" twist and I use highly fragile bullets, i.e. 50 - 55 grains designed for varmint hunting, I wonder if the heavies used in the fast twist 223 Rem might be subject to ricochet. Also, do they possess enough terminal performance at long ranges to deliver a humane kill? Large mature ground hogs can be tough animals to anchor.