Nope. Uniform expansion doesn't involve overlapping points.

Consider ordinary Hubble expansion.
I assume that you would not contest that we see galaxies as redshifted, and the further galaxies are away from us, the more redshifted they are?

If a galaxy 1 megaparsec away from us is travelling at speed N away from us, a galaxy 2 megaparsecs away is travelling at speed 2N and so on. From our perspective, we look like the center of the universe's expansion. But, when we do the maths, we find that it looks like that from the perspective of any galaxy. — Mijin

Right, so if the evidence indicates that every galaxy is the center of the universe's expansion, than the evidence indicates that space expands from central points. And, since we can see from one galaxy to another, the evidence is that the expansion from these central points overlaps.