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!