It seems that the equivalence principle is wrong. Here's a thought experiment that shows it to be wrong.
Take a spherical body with a gravitational field, and two people on opposite sides. The both have the equipment to send neutrinos through the planet, so they can know the distance between each other. Now they are in the gravitational field of the body, so general relativity says that any experiment will look the same as the body accelerating towards them. If the body is accelerating both people in opposite directions, then the distance between them should increase, but their neutrino scanner says their distance stays constant, meaning the experiment contradicts the equivalence principles, as it tells them they are not accelerating.