I've killed deer with a .218 Bee and several with a .22 Hornet. Just because I did doesn't mean that these are great choices for deer. I had real good performance out of 130 g. Speer HPs out of my Ruger .308 back in the late '70s and early '80s. Yep, they can give some impressive "bang flops," but they are not my bullet of choice. I've had bullets fail on deer, especially heavy-bodied bucks. Got lucky and retreived them all, but some were tough tracking jobs. I prefer exit wounds.
Other's comments about sectional density are valid. All that being said, I wouldn't want to try to drive a TNT from back to front, or break a shoulder on the deer of a lifetime if those were the only shots I got.