Sure, but you just admitted that Carroll thus does recover Newtonian mechanics in this limit, so the claim that only Yang does this correctly, is false. And while Carroll may not explicitly derive this for high speed cases, the two links I previously provided do claim to recover SR.
Please stop purposefully misrepresenting: there is a factor 2 difference in the absolute value of the coefficient of the EFE.
It isn't zero in standard GR in general either, so I don't know why you'd say that?
Does Yang derive the $$C_l$$ of the CMB somewhere (see:
https://en.wikipedia.org/wiki/Cosmic_microwave_background#/media/File:PowerSpectrumExt.svg )? That would be quite convincing that his EFE doesn't need dark energy.
As for dropping dark matter: how does Yang explain all these:
https://en.wikipedia.org/wiki/Dark_matter#Observational_evidence ? It's quite clear dark matter is a local and stand-alone phenomenon, so getting rid of it by changing a global equation (the EFE) is quite suspicious...