Even though the GPS is a very accurate and finely tuned system, it cannot be used as confirmation that the speed of light is constant, as this has not been properly checked, it's only inferred. I am convinced that it would work with or without an ether flow.
My reasons for having doubts about the speed of light being constant are:
1. Special relativity is flawed and unnecessary. Einstein introduced it simply to explain the Lorentz force law, as he and others believed that ether theories could not support it. However, he's wrong, see wisp theory - chapter 8 - equation set 8.4.
http://www.kevin.harkess.btinternet.co.uk/wisp_ch_8/wisp_ch_8.html
It proves conclusively that there is no need for a special theory that joins space with time, as an ether medium can support the Lorentz force law.
2. No one has done this simple one-way light speed test. Roland DeWitte did a one-way electrical test and got a positive result that varied with a sidereal period. Sidereal variations can only be of cosmic origin and not of local origin, which would vary according to the calendar day.
(Miller's results also showed sidereal variation and so cannot be of local origin, and he definitely ruled out local heating effects).
3. Ether theories can produce all of the relativistic effects that result from special relativity without the need to have the speed of light constant.
These include: Doppler effects (wisp ch 9), e=mc^2 (wisp ch 10), mass increase (wisp ch 7), Lorentz symmetry (wisp ch 8), etc.
I believe that the ether flow affects the GPS system, but its effect is symmetrical and the system self corrects any errors, effectively removing any offset ether drift errors. Errors are removed every minute/hour and so ether flow errors never build up to show a problem.
I found some data on optical tracking of low orbiting satellites. See
http://www.celestrak.com/columns/v03n02/
The optical tracking of GPS, if done, cannot be better than +/- 0.05 degrees accuracy. This equates to satellites being +/- 23km out of position without being optically detected. I doubt that GPS satellites are even checked to this resolution. A north-south ether wind could fool GPS by this amount without it being optically picked up. How can the accuracy of GPS one-way tests be verified if the positions of the satellites cannot be checked optically?
If someone does this simple one-way light speed test its result will I'm sure make history. A null result will prove Einstein was right and ether theories are wrong - good news for SR centenary celebrations in 2005.
A positive result showing sidereal variation will prove the ether exists and end SR. But GPS will carry on working regardless.