I understand everything you have shown I just don't see anything unusual at all and apparently nor does anyone else in science only you seem to think there is a problem ... only you?
We gave you the answer there will be a slight brightness change because you have media and the doppler effect will refract .. stop the refraction the brightness won't change. The effect is however tiny like you would have to go looking for it depending on setup probably a lot less than 1%.
YOU CLAIM THE CHANGE IS 15% WHICH IS RIDICULOUS WHICH YOU FAIL TO ADDRESS ... DO YOU AGREE 15% IS A STUPIDLY HIGH VALUE.
Again take a 100 watt light globe it apparently is only 85 watt depending which way you face ... yo do realize you would easily see that ... like it would stand out visually just turning around holding a light ... IT DOESN'T HAPPEN
Maybe you cant trust your eyes so I know get a photographic light power meter and hold it out at arms length and hold the 100W globe next to your chest now turn slowly around. Apparently at some point the meter power is going to drop down 15% to 85W
Okay enough picking on your crazy ideas lets get scientific
The problem with all the stuff above is you again compare the light to solid objects being planes and rockets ... STOP DOING THAT.
Okay I want you to write you argument carefully out and give me the example using waves on the ocean which is much more appropriate for light.
LIGHT IS NOT SOLID IT IS A WAVE IT LOOKS LIKE THIS
The above is why you keep getting the relativities confused because you think of solid objects and gravity as somehow related to light.
SO WE NEED TO STOP YOU MAKING LIGHT SOLID TO STOP THE ERROR.
So got it I want you to show me your discussion above but shown me with a wave on the ocean please because I am sure this is the problem and why I can't see your issue.
Don't add anything extra just redo you discussion above with ocean waves.
Show me what you mean using these waves please because there is certain no reason to expect light to move faster than c just because something is moving the speed of sound likewise is the speed of sound it doesn't change just because things move and it is the same with light I am not sure why you expect light to move faster just because things are moving it's not a solid object ... it isn't a plane or a rocket don't expect it to act like one and don't compare it to them.
