xkcd

Of course you do. At high energy levels, the small effects cancel out. You've got dozens to thousands of GeV of kinetic energy, the 1 GeV of mass in the proton is all but a rounding error. The really weird stuff happens at low energy levels, where the details actually matter.

It's kinda the opposite of relativity, which converges to to something mundane at low velocities, but things go off the deep end at high velocities.