TETERBORO, NJ TETERBORO (TEB) AMDT 5 08325 (FAA) TAKE-OFF MINIMUMS: Rwy 1, 400-2¼ or std. w/ min. climb of 294' per NM to 500. Rwy 6, 300-1½ or std. w/ min. climb of 263' per NM to 400. Rwy 19, 600-2¼ or std. w/ min. climb of 352' per NM to 700. DEPARTURE PROCEDURE: Rwys 1,6, climb to 900 via heading 040° before proceeding on course. Rwy 19, climb to 900 then climbing right turn to 2000 via BWZ R-104 before proceeding on course. Rwy 24, climb to 1100 before proceeding on course. NOTE: Rwy 1, multiple vents
Now if the controller(s)did not monitor the Piper's departure, to see if these procedures were being followed...and being on the phone....uh oh....
Those are IFR departure procedures and may not apply to a VFR departure.
TEB takeoff procedures probably in place due to close proximity to NY Airports. When flying out of CDW the procedure after gaining take off clearance was to clear the runway vacate the field area and tell the tower your heading and altitude. If VFR you were not locked into the heading or the altitude you gave the tower on departure.
It would seem you are correct in assuming the controller at TEB should have been monitoring the departing aircraft and is indeed in deep doo doo.
BTW, where can I see the video of the collision you referred to in your post?