Does Cosmic Expansion cause everything to travel faster than light, relative to almost everything else?

Question

Under Cosmic Expansion, everything beyond the Hubble Sphere is traveling away from Earth faster than the speed of light, which implies most of the Universe is traveling away from Earth faster than the speed of light, under a flat-space (or almost flat) assumption, and this condition seems to hold for every other location. Does Cosmic Expansion therefore cause everything to travel faster than light, relative to almost everything else?

Answer 1

Does Cosmic Expansion therefore cause everything to travel faster than light, relative to almost everything else?

Yes, if you consider "almost everything else" as everything that's outside that something's Hubble sphere.