Your not weird this is in my service manual!
Cooling Fan, Electric
WARNING:
THE ENGINE ELECTRIC COOLING FAN MOTOR MAY COME ON AT ANY TIME WITHOUT WARNING,
EVEN IF THE ENGINE IS NOT RUNNING.
The fan control system consists of:
a fan blade.
a two-speed cooling fan motor attached to a fan shroud located behind the radiator (8005).
-- Vehicles with 2.0L engine have a single cooling fan motor and fan blade system.
-- Vehicles with 2.5L engine have dual cooling fan motors and fan blades.
The cooling fan motors are wired to operate only when ignition switch is in the RUN position, thereby preventing cooling fan motor operation after the ignition switch is turned to the OFF position.
Now if the 2 items i put in bold aren't contradictory I don't know what is!