And at 1200 yards, even with a decent load ES of 15 fps there's vertical dispersion of 4.6 inches. That's with a .284 180 gr vld-h @2912 and 2927 fps at 7500 ft alt, 50% RH, 50°. Lower altitudes, lower bc bullets, would be worse. And most hunting bullets bc and factory ammo ES is not that good.
A prime example relating to what you said, is a 6.5 Grendel at 1000 yards. 2505 fps .510 g1 bc bullet. A 5 to 10 mph variable FV wind on a 18x30 silhouette plate. Even if you spilt the difference and hold for a 7.5 mph wind you will not hit every shot. The target is .5 mils wide, 5 mph is a 1.6 mil hold, 10 mph is a 3.1 mil hold. 7.5 mph is 2.3 mils. You can't cover the variance. But a 6.5 cm could. Knowing your limitations is key.
Load/rifle accuracy (vertical dispersion/moa), wind, distance, and their ability are all factors a hunter should consider on a given day before they pull the trigger.