You are just launching computers, with no propulsion, no attitude control, no solar panels, no radio/laser systems, no radiators. So all of that will take mass

You are just launching computers, with no propulsion, no attitude control, no solar panels, no radio/laser systems, no radiators. So all of that will take mass away from the computing power. A starlink satellite already weighs about 1000kg, and that really is just the supporting infrastructure you need before you start adding computers... So yes, 10-100x extra is probably reasonable.