http://www.faa.gov/training_testing/...-S-8081-6C.pdf
On page 20 of the pdf (page 10 of the booklet):
3. be capable of performing all appropriate TASKs for the flight instructor
rating sought and have no operating limitations, which prohibit the
performance of those TASKs. A complex landplane is one having a
retractable landing gear, flaps, and controllable propeller. A complex
seaplane is one having flaps, floats, and a controllable propeller.
Airplanes that are equipped with a full authority digital engine control
(FADEC) system are considered to have a controllable propeller.
In my ASA CFI PTS however, it reads:
"
...which prohibit the performance of those TASKs. A complex airplane must be furnished for the performance of takeoff and landing maneuvers, and appropriate emergency procedures. A complex landplane is one having..."
The FAA website has change 4, while my ASA book has change 1. I think it may be worth a call to FSDO.