If expansion at the big bang started with a rate of X. Could the varying densities at different points cause their expansion to deviate from the original rate?
I'm not sure what exactly you mean, but the Hubble tension could also be explained if we live in a particularly large under dense region of the universe. Then the light we observe from the CMB basically has to climb out of a gravitational well which would influence our measurement. IIRC such a substantial under density is considered unlikely though and very hard if not impossible to measure.
The spatial inhomogeneities of matter in the very early universe, which I believe you might be talking about, were extremely tiny.
> I'm not sure what exactly you mean, but the Hubble tension could also be explained if we live in a particularly large under dense region of the universe.
