Per a recent article in Science Magazine,
"The Rubin Observatory, with an 8.4-meter mirror that will take pictures of the sky the size of 40 full Moons in 30-second exposures, “is the perfect machine for running into these satellites,” Tyson says.
He and his team conducted simulations that suggested the track of a satellite image across their camera would saturate each camera pixel as it passes, and cause leak- age into neighboring ones. The resulting artifacts “cannot be removed in software. We have failed in doing that,” Tyson says. The team looked at altering schedules to avoid satellite trails, but with such a wide field of view, avoiding thousands of satel- lites would end up as “a wild goose chase,” he says.
So Tyson is pinning his hopes on SpaceX darkening its future satellites. He and his team speak several times a week with en- gineers at SpaceX, which launched one darkened satellite in January that is just now reaching its final orbit. Tyson’s team calculated that if the company can reduce reflections by a factor of 15, the issue will be manageable. Images would still contain trails, but they wouldn’t saturate pixels and could be removed digitally. SpaceX and its chief, Elon Musk, are “totally committed to solving this problem,” Tyson says, and his team has worked with them to “narrow to a design that may work.” Several satel- lites with this updated dark design will be launched in coming weeks. SpaceX did not respond to requests for comment." Science Magazine, 28 February 2020, Vol 367 Issue 6481
The reference to the individual Tyson is Tony Tyson, chief scientist of the Rubin Observatory.
So according to at least one source if the reflections can be reduced by a factor of at least 15 there may be software solutions to overcome the effects of the satellites. Lets hope they can come to a solution that works.