Relevant light scattering occurs in the atmosphere between the satellite and the telescope. It also occurs between every other light source, across the universe, and the telescope. Thats why the satellites contribution to light scattering is tiny. Even in the morning where one might catch the sun - the sky is already lightened.

Hard or soft optical adaptations to remove atmospheric distortions are far more demanding than processing required to remove low magnitude satellite trails, which is already developed and required on occasion.