@3ammo and no, gravity wouldn't change. A lorentz transformation modified so c is asymmetrical would result in the same experimental results as a symmetric c.. the math would be needlessly more complex, but the final testable results would be the same.
If this were true than the asymetry would be testable, which it is not. All your doing is obscuring it in more complex situations and hope something will work out and change the results.. yet it never does if you do the math.