So to be clear, in your example the scanner computer on a ship trying to hide only affects its radar signature when (for some period after...) the scan computer has been activated and performed a scan, and is based on how large the scan array used was? The scan computer on the seeking ship likewise makes its radar more sensitive for a time, right?
Makes sense to me.
How do turrets fit in, though? If they have their own passive sensors, a tiny turret can detect craft the parent juggernaught can't. If they can feed that to the parent so it sees what they see and vice versa, it nullifies the point of larger craft having extra difficulty in detecting smaller craft. But if turrets don't have their own sensors, and the parent ship doesn't dedicate enough mass to sensors, the tiny turrets on your planet-sized whatsit can't defend from tiny fighters, because they can't see anything the parent can't see.
Which might be okay, because on the other hand, that creates some value in battle groups being composed of craft of multiple sizes; you need a craft available that is small enough it can pick up on the finer details, and perhaps a linking system to share radar data with fleet members. And that would be a really cool mechanic.
That could get annoying though for someone who has no friends online to play the tiny scout ship. Lets say we allow you to launch a drone that feeds you anything the drone can see. The drone has to be launched further from the parents core than the parents longest axis, however, so you can't dump it inside the hangar or something equally exploitative. As long as the drone remains alive, you get the scan bonus, but if the drone is destroyed, youre back to relying on your own sensors. Of course if anyone fires, they become obvious on radar for a time, and you can always launch several drones.