I do not understand why the astronomers feel entitled to determine fair use of the sky. I feel like it's much easier and more reasonable to ask what the telescopes can do to mitigate the problem than to insist that others back off from use of the communal resource.

The great observatories are marvels of engineering - a focused effort on technical mitigations to the satellite problem would likely push the problem out for decades into the future.

Two possible paths forward: 1. inserting a shutter into the beam path while a satellite is transiting the field of view of the telescope, or 2. (somewhat worse from an SNR perspective) terminating an exposure right before it's corrupted by a transiting satellite and starting a new exposure once the satellite has passed.

I for one would much rather see effort put into advancing telescope design than blocking advances of our use of space!

maybe for example because thanks to them we have satellites in the first place?

I agree with this and I'm not an astronomer btw.