A couple of cautions about Taylor KO and Momentum versus KE.

The KE of a typical rifle bullet is more than 100 times the recoil energy of the rifle firing it. Yet the momentum of the recoiling rifle is about 150%-200% greater than for the bullet it fired (because the gas blasting from the barrel accounts for almost half of the forward momentum of a cartridge discharge). Which predicts lethality better? KE, which shows that a rifle bullet is about 100 times more lethal than the rifle that fires it? Or Momentum, which shows that the recoiling rifle is about twice as deadly as a rifle bullet?

Also, the Taylor KO is twice as high for a thrown baseball than it is for a .470 Nitro Express.

KE won't predict lethality accurately, because you can maximize or minimize the potential for a given projectile to kill quickly by changing numerous important variables. But KE still is a lot better predictor than momentum or TKO.