You haven't formulated a standard configuration, which is for the simplest case--linear translation. You've got the earth moving in its orbit. And you've got earth in transverse configuration with the hypothetical observation "point".
I think you've agreed now that SR is proven by GPS, right? So that already establishes dilation between the earth observer and the guy parked relative to the sun. Once you've established that, you will have to go with the transverse relativity between the earth and the point 1 LY from the sun-frame observer.
Proof.
It is a standard configuration in the sense that at the instant they measure, the axis of measurement, it is perpendicular to the instantaneous line of motion.
I agree that GPS proves time dilation exists for the satellite. So, we are in agreement with that point.
I also agree the one rotating has a GR time effect that makes its time less than the one that is not rotating all other thing being equal.
So, as in GPS, we have two operations of time differentials, GR (acceleration) and time dilation.
Now, let's cancel the GR effects since that effect allows the frames to disagree on the speed of light.
OK, so we factor that.
But, now we have the time dilation effect that is not explained. However, unlike GR effects which allows frames to disagree on the speed of light, time dilation does not since its derivation assumes both frames measure c.
But, as proven by GPS, time dilation exists and so one clock must read a different clock reading than the other.
However, since the 2 observers are at the same place again, and they measure the light sphere along a y-axis, and they read different times on their clocks, then they disagree on the speed of light for the time dilation component. But, the time dilation component was built on the condition that the speed of light measured c for both frames.
So, we have a contradiction.