Is there an option to correct S2 bare soil reflectance across bands based on soil moisture?

As the question says, I want to correct the reflectance values based on soil moisture.

It is well known from the literature that the reflectance of soil decreases as soil moisture increases. I’m comparing images of bare soil from different dates, so I would like to try and maximally reduce the effect of different moisture conditions.

Does anyone have experience with this? I didn’t manage to find anything useful in the literature.

I did found some interesting paper which proposes corrections for Landsats (Equations 2-5):