Military bullets tend to have a long nose, so even without an aluminum of wood filler in the nose section, the shank has sufficient weight to cause the bullet to swap ends once it impacts denser than air target medium. The whole modern FMJ military bullets have a cannelure near the base of the bullet, but when the cannelure of a military FMJ is located mid shank, it sufficiently weakens the jacket that the bullet can spit in two, as the bullet swaps ends. At one time I had a collection of 150 gr FMJ .30/06 bullets that I recovered from a snow bank; these that had the nose section bent around, alongside the shank.
A non-expaning big game solid, either mono-metal or steel jacketed, is another matter entirely. Provided these have parallel sides and a flat or hemispherical nose, they kill game of all sizes very well. The Barnes small caliber pointed solids are designed to shoot fur bearing animals with minimum damage to the pelt. The light density and small dimensions of these animals probably doesn't give the bullet time to swap ends, but these bullets would produce miserable performance on big game. Drill a hole through the boat-tail for the thread, and they'd make a dandy needle.