Eckard,
Miller did not agree your conclusion of no background frame. You assume it as some 'light carrying medium' but I point out that a simple dielectric particle system does the same job over the distances involved.
In a 1933 paper, The Aether-Drift Experiments and the Determination of the Absolute Motion of the Earth physicist Dayton C. Miller reviewed the evidence and concluded;
"The brief series of observations was sufficient to show that the effect did not have the anticipated magnitude. However, and this fact must be emphasized,the indicated effect was not zero; the sensitivity of the apparatus was such that the conclusion, published in 1887, stated that the observed relative motion of the earth and aether did not exceed one-fourth of the Earth's orbital velocity. This is quite different from a null effect now so frequently imputed to this experiment by the writers on Relativity."
Miller showed that there is a systematic effect in the original M-M data indicating a speed of the Earth relative to the Aether of 8.8 km/s for the noon observations and 8.0 km/s for the evening observations. He believed that the aether was entrained ("dragged along") by the earth.
After years of careful experimentation, Miller indeed found a systematic deviation from the null result predicted by special relativity, which greatly embarrassed Einstein and his followers. Einstein tried to explain it away as an artifact of temperature variation, but Miller had taken great care to avoid precisely that kind of error. Miller told the Cleveland Plain Dealer on January 27, 1926,
The trouble with Professor Einstein is that he knows nothing about my results. ... He ought to give me credit for knowing that temperature differences would affect the results. He wrote to me in November suggesting this. I am not so simple as to make no allowance for temperature."
But the enthusiasts of the geometric interpretation suppressed all discord, and logic was lost. Misunderstanding experimental evidence will ensure it remains so.
Peter