I have used 150 grn Rem Coreloct ammo in my mod 88 win. 308 for 40 years for deer. A behind the shoulder hit almost always has resulted in an immidiate drop of the deer and if not they went no more than 20-25 yards before collapsing. That combination put lots of deer on the ground.
I've been using the 150gr Winchester power points for 20 years in my Rem 700 Classic. In that time my window of lethality has grown quite a bit to the point that now as long as I hit them somewhere behind the nose and in front of the rump they go down. The doe I got last year was a clean gut shot(flat out run at 40yrds) and she dropped in 3 steps. So sue me I didn't lead her enough. The longest shot I ever took was 120yrds, that one took 2 steps.
Don't know if it's the gun, ammo or just my confidence in both, but when it goes bang they just drop. I can count on one hand the number of deer I've shot with that gun that have taken more than one step. I'll never try another brand of ammo. If Winchester ever goes out of business I'll have to buy a case of ammo to make sure I'm set for the rest of my life.
I believe that any standard weight bullet for any of the common calibers, if placed in the right spot, will do the job on a whitetail. Absolutely there are differences in ballistics, accuracy, etc. But any of them placed in the boiler room will kill a deer just about every time.
Like everything else, it comes down to personal preference. Which is why we have so too many options to choose from.