I can't help with the original question about L. agavoides, but FWIW all my Ledebouria and related genera are in a greenhouse and get water year-round, and don't seem to care. They put out new growth and flower in the spring and go dormant in the fall. Some lose all their leaves, some just stop growing and get increasingly ratty looking all winter. I do try to water them less when they're not actively growing, but they get some water at least every couple of days. They're in a well-drained mix, and I've never had any problems with rot.
Steve
Steve