The Mandaic expression "riding on the day" undoubtedly reflects the common Akkadian expression RKB ūmē said of the gods "riding on a storm wind" (see Müller-Kessler, "Aramäische Beschwörungen und astronomische Omina ...", pp. 433-35), but the word iuma was surely always simply understood as "day" within Mandaic.
As for the expression using the repeated plural in the KTMW inscription, we believe that the commonly agreed upon interpretation of similar expressions in the MT as "yearly" is unwarranted and should be rendered "from time to time" and would so suggest is the best understanding of the KTMW passage as well.