I don't know anything about the Flow hive so can't comment on it but a lot of us store our supers wet. They can get a little fermented but the bees deal with them and the honey is OK. Bees won't store honey in dirty cells. They are thoroughly cleaned.
OK but my understanding of the Flow hive architecture is that bees can't access the collection channels to clean away the honey trapped there which isn't the case with wet supers which are completely accessible to bees.