Greetings:
When I first started learning about these scooters, I wondered if running grease might not be a good idea too. Honda's earlier Elites and Aeros used a grease cover and o-ring to contain the grease. Only the Keli has the threaded holes if one wishes to reinstall the cover and run grease, AFAIK. Almost everyone here advised against doing so. Note that if you instal grease without the o-ringed cover, it will spin out and cover your belt.
Even Honda-san evidently had a change of heart: My 2001 had no cover and dry rollers, and was almost certainly assembled that way at the Factory, because the Previous Owner never touched it. I have had OKO, Malossi, and Polini variators in addition to the Keli. None of them can use grease.
A worn belt leaves the variator a little "slack" and so you can hear the rollers rattling around at idle. Sometimes the steel driven pulley "rings" a bit too. Your new belt might cure both noises.
I have a new belt on order and when it gets here the pully is going on the 01.. ofcourse i could just take the new belt and pully off the 88 and slap it on the 01 (if i had the right d*** socket for my new impact drive! lol.. SUCKS)
I suggest caution. While the crank is incredibly tough in actual use, the pressed-together design is
very sensitive to torque loads from one side. Whack it with an impact gun and run the risk of twisting it out of true. Find a way to immobilize the pulley properly, and then a simple pull on a wrench is enough to remove the nut. Use a torque wrench set at 28 ft-lbs to reinstall and your crank will stay straight.
Your '88 ramp plate won't slide onto the thicker '01 crank. YMMV
Best regards,