You're underestimating the power of knowing what someone thinks you don't know.
Flying under the radar >>> than popping up on the radar for flying
Benefits of Invisibility:
1) Live as you normally would. Nobody has to know you have powers.
2) Fast money. If you aren't going to use your power to acquire things illegally thats on you. I would... in one way or another.
3) Almost impossible to be captured or jailed.
4) Ability to target haters and sneak dissers for payback.
5) Unlimited blackmail ability.
6) Walk into restricted areas.. Museums. Military Bases, White House, Castles, Teacher's lounges,
7) Easiliy become a hitman/spy if you have the heart (or lack there of) for it
8) Sit in on college courses w/ no flak. Give yourself Ph. Ds from major universities..
9) get secret recipes to all the major food chains
its only as limited as you are creative and calculating.
Invisibility isn't going to get you into a secure area and if you do you won't go undetected for long. It won't give you the code to a door, it won't allow you to do a retina scan, give you a keycard or a keyfob."Stand behind someone and get the password", ok the camera catches the door opening with no authorized person walking through it. Instant alarm bells.
Anyway invisible means normal light bends around you, not undetectable. They can still see your body heat