I'm using this data to power my site that shows when you can see Starlink yourself: https://james.darpinian.com/satellites/?special=starlink-lat...
Yes. There's only one other (public) source, https://space-track.org/ which publishes tracking results from US military radars. But the tracking results aren't as accurate as the satellites' own telemetry data.
These telescopes essentially work by capturing photon counts on a sensor. The individual pixels on the sensor have a limit to the number of photons they can count. You could theoretically subtract the satellite pixel-count values from the photon counts to get rid of the trails. The two problems I see are: 1) You don't know the correct counts for the satellites and I'm not sure how you could get them. 2) The trails will probably saturate the pixels anyway (which can also cause bleeding into other pixels), in which case you just don't have the data of what's 'behind' the trails.
Problem is: With photon count the uncertainty in the number of photons also goes up (the relative error goes down). So even if you know that you should have received 100 photons from the satellite (and have not reached the overflow of 256 in this example yet), Poisson statistics means you will actually get anything between 90 and 110 photons. So if you subtract 100 you have an uncertainty of plus or minus 10 photons left. That is deadly if you astronomical source only gave you 2 photons in that pixel in that time.
I mean to use it like auto-dimming mirrors, or smart headlights. Block the bright stuff that you can easily predict, so you can protect the sensitive image sensors from over-saturating on garbage.
To do it you'd need a screen in front of the sensor that could occlude the pixels that the Starlink sats were passing over..
One such technology is the optical vortex coronograph. Several types exist.