I've killed a ton of deer with both my .35 Rem, 336 Marlin (now my daughter's gun) and my 30-06 bolt. I'll say this: When I shot them with the .35 it knocked them over and that's exactly where you found them. The bullet is almost always found just inside the hide on the backside of the deer. All of the energy of the bullet is transferred to the deer.
Quite a few I've shot with the 30-06 result in a chase, albeit short, but a 50yd follow nonetheless. The difference is that the 30-06 leaves holes in both sides of the deer. Some of the bullet's energy is lost out the backside of the deer. Bottom line, both will kill deer just fine. The 30-06 gives you a range advantage but the .35 knocks them right off their feet inside of 100yds (about the furthest range we hunt here in northern Michigan).
Quite a few I've shot with the 30-06 result in a chase, albeit short, but a 50yd follow nonetheless. The difference is that the 30-06 leaves holes in both sides of the deer. Some of the bullet's energy is lost out the backside of the deer. Bottom line, both will kill deer just fine. The 30-06 gives you a range advantage but the .35 knocks them right off their feet inside of 100yds (about the furthest range we hunt here in northern Michigan).