According to my research, Article Superluminal graviton condensate vacuum
the speed of light c in the vacuum is directly determined by the zero-point vacuum energy density,
ρvac = 5.96×10^−27 kg/m^3 ≘ 5.3566×10^−10 J/m^3 = 3.35 GeV/m^3.[https://doi.org/10.1051%2F0004-6361%2F201525830] [https://en.wikipedia.org/wiki/Cosmological_constant]
Therefore any chronological change observed of the measured value of the Hubble parameter (constant?) H0, would directly and proportionally reflect also in the measured speed of light c here on Earth. Since speed of light reliable and very accurate measurement records are kept for at least 70 years now then any slight deviation of the speed of light with time would show up in these records amounting also for any uncertainties.
Of course you could argue that time period these data are referring is too small compared to cosmological time to make any conclusions however because the very high accuracy in the speed of light measurement even a very small tendency in the data would possible show up. For example, an observed consistent chronological, speed up in the speed of light compared to past years, even so slightly over the last 70 years. Which would mean state of equation ω0>-1 say for example -0.94 or -0.93 meaning acceleration of expansion is slowing down (quintessence energy and the Big Crunch) and Hubble parameter H0 is getting smaller.
In the opposite scenario, any observed degradation in the chronological measured speed of light in the vacuum value would infer to a state of equation parameter ω0