I didn't say what you should do when hunting deer you crotchety frail recoil shy old man. I said what I would if I were hunting Elk.
There's no such thing as overkill. What there is is excessive meat damage. And that does not occur with those bullets coasting along at the speed generated by those loads.)
(The recoil really isn't bad. I'm not recoil shy, but hiking up and down mountains just might kill a flatlander like me.

)