Why not making a piloting tool that works kind of like the spyglass. If you're looking at an enemy ship, you can use a mirror to reflect light towards the enemy who has spotted you and negate their spot.
Obviously, if two enemies can see your ship and you don't know who it was that spotted you, it's a bit of a "luck of the draw" situation where you don't know who to aim for. You'd need to spend a second or so focused on the ship with the mirror selected and the button held down before the spot fully vanishes, much like how it takes time to break a spot when you go behind cloud cover.
Advantage: you can immediately remove an enemy spot from your ship. It could also prevent spotting for a short duration after.
Drawback: It requires a crew member to devote time and effort to identifying the spotter and negating them, and can be undone by a second ship spotting you as well.
This would give non-pilots a tool other than the spyglass that's worth using, and would add another "stealth" technique to the game with its own limitations. They could also make it so that using the mirror would cause a bright flash to be visible, so while it makes you able to vanish, it would somewhat reveal your initial location while doing so.