No Haynes, you are not 'right after all' The outer dial has Roman numerals (two lots of I to XII it being a 24 hour chapter ring ). The innermost dial, to which the moon relates, has Arabic numerals.The middle ring is the ' minute' dial being described in the quote you rely on in your link 'The clock had an asymmetrical 24 hour dial and used Arabic numerals for a minute dial and a moon dial' It does.The 24 hour dial is in Roman numerals and in Arabic ones for the minute and moon dials.We still do this in modern times.The late C17 and C18 clockmakers of England used Roman numerals for the hours on the chapter ring but Arabic ones for the minutes and this practice continues.
The reference to IIII and balance is because, exceptionally, the clock is 24 hour and so there's no VIII to match the IIII so in this instance balance was not a consideration.The maker used the Roman IIII not the Roman IV.
You can see this from Chuck's link.