I've personally have never seen a plastic tipped lead bullet pencil through an animal if the impact velocity was anywhere near 2000 fps. I just don't understand how it could happen.
Note: I'm not calling the OP a liar.
I had a Nosler Ballistic tip that put the most perfect 35 caliber hole through both lungs of a whitetail deer. Other than the hole in the lungs, there was no other damage. Lungs where completely whole, sans the little hole.