I don't think I would use either caliber for game as small as deer, no further than 400 yds. If I wanted to be able to use a quick hold, like top of the back at 400, I would use something with an extremely flat trajectory, like maybe a 270 WSM, a 26 Nosler, or a 257 Weatherby, sighted in for a long maximum point blank range.
I shoot a 270 WSM pushing 140 gr Berger VLD's at 3180 fps. I am sighted 2.25 high at 100 yds. This allows me to hold dead on, center of chest out to just past 300 yds, and I have used this same load to kill elk.