"Jumping in" doesn't mean that you're really IN the Drone.
All "jumping in" does is configurate the Drone and your Riggerinterface in a way that all data from the Drone is directly send to you, including simsenses, so that you feel like you where the drone and everything you do is send to the Drone to react like you were the Drone.
All that happens is that a lot of Data is send between Drone and Rigger, but that's basically it. You're still where you were before, including your "Spirit" and everything. It's just data that's send from one place to another.
So there is no way that your Aura or anything could be seen on the Drone. For a Magician, it's just a Drone, nothing more, nothing less. Beeing "jumped in" or not doesn't change anything.