Satellites only reflect sunlight when in sunlight. This only happens near sunrise and sunset.
The night sky will be unaffected by satellites for the foreseeable future.
You forgot about the radio spectrum pollution which affects the night and day sky right now .. and for the foreseeable future given the lack of progress in addressing that leakage.
I've been watching satellites at all hours of the night for decades. You might want to double check with reality on that sunrise/sunset claim.