I personally shoot 1000 yd BR competitions. I have multiple 1000 yd 10-shot groups in the 4-6" range. I have a couple that are under 4". That is a 30lb purpose build rifle whose only goal is to shoot small groups and high scores at 1000 yds.
I have never shot this rifle at close range because close range groups are meaningless for a long range rifle. Though I did recently fireform 100 pcs for my 17 lb Light Gun, also purpose built for 1000 yd BR. I shot a 10-shot group of .32" and a 30 shot group of .38" at 100 yds. I have yet to get this rifle under 4" at 1000 yds, and to be competitive, a Light Gun needs to to shoot 5-shot groups in the 2-3" range in good conditions. The last match, A guy shot a 1.4" 5-shot group. That's why I don't care how well a long range rifle shoots at 100 yds.
So those are THE most precise and accurate rifles at 1000 yds. Hunting rifles are an entirely different matter.
When we build a rifle for someone, and then do the load development, our standard is the rifle must shoot TWO 3-shot groups under 1/2 MOA at 650 yds. We have no issue getting any of the rifles we build meet that standard.
Now these are long range hunting rifles. Load development is done from a bench. The range is protected. Not all customers can shoot them that well, and very few of us are much better than 1-2 MOA in field conditions.
Then again, when hunting, we don't need to shoot 3" groups on animals at 600 yds. We need to be able to quickly put one or two shots into a 12" circle (for NA big game) at whatever distance we are shooting from whatever position we have available.
That is an entirely different skill set than precision target shooting, yet guys seem to blur that line all the time. Your super duper accurate long range hunting rifle will have its azz handed to it at a LRBR match, and your super duper match winning LRBR rifle sucks in the field.
And of course, African DG hunting and shooting is an entirely different skill set, and many here know that much better that I.
My primary focus for my upcoming buffalo hunt is to make one very well placed first shot, most likely form shooting sticks. I have three more months to get that down.