If I had to guess, it's probably the spindle connected to the clutch in the motor that's dragging or needs to be lubed. My Captain Fantastic did that for a while. Basically, when the motor is engaged, the small rotor is "sucked" into the stator housing through an electromagnetic force, and the friction it makes on the inner plate is what drives the rest of the gearbox. When the motor is disengaged, the magnetic field collapses, and a small spring forces the rotor back out of the housing.
With the game off, you should be able to press on the small "drum" on the motor, and should be kinda springy, but with smooth action, and no sticking. I fixed my issue by pulling the housing apart, and cleaning the gunk and stale grease out with some alcohol. I think in some manuals, it'll specify the motor's lubed parts. I don't recall if I put any grease on the spindle part--if I did, it was a *VERY* small amount of teflon lube gel. Either way, it corrected the noisy motor, and it's been buttery smooth since.
Just make sure you keep track of all the pieces/parts and their orientation. I recall having a bit of trouble getting things back together again. But I was younger, stupider, and less experienced then, so it might be a cakewalk for you guys.