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.