I've shot elk with Hornady Interlocks, Speer Hot Core's, Barnes TSX & TTSX's, Nosler Partitions, Ballistic Tips, and Accubonds. My current load is a 165 Sierra Game King... they all work.
Elk are no harder to kill than anything else if you hit them correctly.
If I were trying to decide between a 180 NBT and 168 NBT, and they shot equally well, I'd go with the 168 because it recoils less.