Nope. You can do the test w/a scooter. “Anything that falls under the heading of motorcycle or motor-driven cycle can do the skills test.”
I researched it. I let a friend borrow the Yamaha 80 to take the skills test, rather than have him do it on the 600cc. They were at first trying to tell him he could only get an M2. But he told them to check to make sure (since I took the test on it and got the M1) Sure enough, they came back and told him the quote. CC size, amazingly, doesn’t matter either.
If you pick up the motorcycle manual, you will see scooter is a motor-driven cycle, and thus you can get an M1.
I think M2 is pretty much for mopeds, anything w/pedals. My scooter is not automatic. The new Vespas are. BUT, it doesn’t matter. I’ve seen them do the test w/new scooters. And actually, not so easy to do it w/an automatic. Personally, I think it’s easier to do it holding the clutch and finding the sweet spot.
esmith is right about the freeways. I did forget to mention that you can’t ride on freeways w/a permit, either, besides carrying passengers and at night.