Satellite capture range is static. It does not matter what ship or upgrades you use.
I had initially did an un scientific test early in the game. Today I did a more scientific test and you are correct.
One odd thing is that you can run past a satellite and you get one pulse of satellite focus. That is what I mistook for focus range initially. When you run past a satellite, the green focus shield can appear around your ship when you are far away from the satellite, if you turbo past it.