i am waiting to do my demo test (booked for end of march) and my boss wheeled in a piaggio NRG 50cc moped and started to do an mot on it, i questioned a couple of things about the bike and he told me that as it was a moped things were a bit different.
are they classed any different? - other than no need for high beam and the tyre tread differences.
the bike in question had lots of play in the front fork stancion bushes but was told that although not good it wasnt a testable part on a moped?? - i cant find anything in the manuals that precludes mopeds from checking the front suspension system (or am i not looking in the right place?)
i also didnt witness a beam test done on the headlight and was again informed that it wasnt needed on a moped
Mopeds of 50cc which cannot exceed 30mph do not need a main beam - but the dipped beam aim should still be tested.
As you have also mentioned - the tyre tread depth requirements are slightly different from larger machines.
Otherwise - items such as fork stanchions etc are testable regardless of the size of machine.
Good luck with your demo.