When I think of .25-'06, I think of Pronghorn antelope. It works on coyotes, too, and other critters - cat, racoon, etc. It is especially well-suited to Pronghorn because most loads for it have just enough kinetic energy out at 700 to 800 yards, where you hope to find pronghorns, and they do shoot pretty flat.
Will it go for 1,000 yards? Yes, but there are better rounds for 1,000 yard work. I'd prefer a 7 mm SAUM, a 7mm WSSM, or a 6.5-.284 Norma, especially if I also had a deer tag in my pocket, or encountered a bear up closer.
As with all 1,000 yard work, accurize the rig, work up a round with enough downrange energy to drop what your aiming it at, scope it for 1,000, then get to the range and work out from 100, 200, 300, 400, 500, 600, 800, 1,000 yards and 1,000 meters. Spend 2 years learning windage or until your groups are about 7" or less. As you can guess, it is easier said than done.
Will it take a deer? Yes, it is a .30-'06 necked down to .25 bore. The lighter slugs tend to limit ethical kills to more reasonable distances (<600 yards for a sniper, <400 yards for most guys). Again, there are better rounds for deer, just not that many better for antelope.