So I waited at least a day; but in reality... I think other aspects of the project got in the way; so yesterday I got back to addressing the playfield shine - or lack there of. I chucked a buffing cloth into the cordless drill and proceeded to use rubbing compound on the clear coat:
Then polishing compound:
And two sessions of Carnauba Wax:
Yeap; I think we'll call that a near mirror shine.