I've killed over 100 whitetail, with a wide array of bullets. If you played every one of them back for me on video, I'd never be able to tell from watching, which deer was shot with which type of bullet. It's only when processing them that I can tell. While the internal damage was notably more traumatic when shooting expanding bullets like the ballistic tip, they all died in short order. I could usually pour the lungs from a deer shot with a ballistic tip from my 7 mag, but even they usually managed a dead run for a few yards. The deer I hunt are generally 100 to 110 lb doe, and bucks that weight 150, sometimes ranging up to 250 lbs. They're not difficult animals to kill. I prefer a double lung shot, and the vast majority have been such. Federal Ballistic Tips, Nosler Accubond, Rem Core Lokt, Sierra Game King, Winchester Silver Tips, and more, they've all worked well for me.
I once shot a whitetail buck in the heart with my 7 mag at a distance of 7 yards. He ran so far, and bled so little that I wondered if I'd ever find him. He left enough hair at the scene to make a blanket, but not a drop of blood for 50 yards. Then it was a drop here or there, then a little more, and by the time I found him 75 yards away it looked like someone had dumped a five gallon bucket of blood. Most of the time, if you don't hit something in the central nervous system, they'll go for a run prior to giving up the ghost.
Heck, I once shot a whitetail buck at 175 yards, double lung and he dropped in his tracks. When I was inspecting him I noticed a large bulge in his spine. Then, when cleaning him I noticed that my bullet had hit perfectly broadside, then turn 90 degrees, went straight up and busted his spine. Bullets do funny things once they hit stuff.