They do 3... An aerosol rubbing compound which is very mild, I'm using it for final finishing. There's an aerosol blending compound which is supposed to be for blurring the edges of new and old paint, that might be for you... And a tube one which from the description seems to be coarser- it mentions that if you want a gloss finish you'll need colour restorer, which isn't a good sign. AFAIC rubbing compound is supposed to do that itself, it shouldn't be dulling the finish.

Ah, I have had a brief look before but didn't spot any. Hadn't occurred to me that it might be in an aerosol [no big surprise given that it didn't occur to me to check the Arai site about painting the lid!]

Yes he did - got a replacement at the bike show.