Yes the system runs fine on battery, there are two one in main panel and another in powered rio, batteries check out ok and I don't get any battery faults on panel.
I seem to remember the RF G3 had too be assigned to a zone for groups, main panel was full these are all house sensors ie G1, the P-RIO is for an outbuilding G2 but not all 8 were used so assigned it to a un used zone on there, but not sure why his would cause the mains fail to unset.