I would hunt the 223 but only knowing that there might be shots I would have to pass up that I wouldn't hesitate on with a different caliber.
200 yards and under there isn't a shot angle I would pass up with the .223AI that I would take with the 7mm-08, .300Sav, .308W or .30-06. Further with the .22-250.
If you don't want to believe what others here have proven and shown, then you have to prove it to yourself. I trusted their experience and then found out they were right.