I work on these regularly. Always the motor assy. They have an internal thermal switch that goes, need to replace the motor itself.
So am assuming you are an appliance engineer not a DIY novice.
Instructions are for the standard chimney type (not the curved glass ones)
the motor comes by itself, you can carry out the repair with the hood in situ working from underneath having taken off the grease filter
Remove the bulbs
There are 4 screws that hold the motor housing in place, undo 3 of them so that it is held up by one screw (at the rear right), leaving the motor housing dangling down
Then unscrew the left fan cover (3 screws)
Pull the motor out with the fan attached as far as you can then snip the wiring loom that runs to the motor. (I shouldn't have to tell you to have the thing unplugged/turned off at this point)
You can then remove the fan & motor assy completely
Strip down the assembly, fan off, motor of metal spider and then reassemble
Push the assembly back into the housing then re-secure
Then you need to undo the housing where the wires connect to (4 screws front lower centre of motor housing) This holds a chocolate block
You should easily identify which wire goes where, they are all different colours so easy to follow, just follow the cut wires from the original motor loom and swap a wire for a wire.
The only slightly problematic wires are for the capacitor, you will need to crimp these together
Refit the 3 motor assy housing screws and bulbs
plug it in and off you go.
Biggest problem is it makes your arms ache having them up high for so long rewiring the chocolate block and also its a pain to get access to the plug socket behind the hood chimney, much quicker to turn the circuit off at the consumer unit
Experienced this can be done in 35-40 minutes, first time moist likely an hour.
The curved glass ones are a pain in the ass, some are much more difficult than others
They require the glass cover and chimney removing and often the stainless steel body that surrounds the grease filter
This is where you experience the screw ups that kitchen fitters do and learn how not to install a cooker hood
Hope that helps