the timing must increase unless the arm contracts.
The timing does increase in the east to west direction because you are slowing down. The electrons travel through less space per cycle. Light and the electron are always confounded. Light travels through less space also. This is why they are confounded. It is the cycle time of the electron that controls timing while c is the available time. The electron at c would have no cycle timing.
I've just shown you (for the n'th time) that the speed of light through the MMX arm aligned with the cable going round the Earth must on average be faster in one direction than the other
No the light is constant. The distance traveled is not if you are discussing relativity.
and for the "ticks" of that arm to remain in sync with the "ticks" of the perpendicular arm, it has to contract
No the ticks by distance is more and less by direction to complete the rotation. If we are discussing relativity.
More importantly though, the main impact on the relative speed of light to the apparatus in opposite directions comes from the Earth's movement round the sun rather than from its rotation
Then you do not understand clocks ticking at the same rate at sea level.
and no amount of voodoo can overcome that either by imagining that the rules out in space don't also apply down on the Earth
Do you consider gravity voodoo?
anything that adjusts to equalise the speeds would lead to measurable distortions, absolutely trashing GPS system measurements.
SOL is constant. Measurable distortions create the need for GPS systems.