As long as the pots have drain holes in them, they should be OK. However, if left wet too long, the bulbs could rot. How long is too long? I'm not sure, but we had a month long rainy period, and mine did fine. If you think they are too wet too long, try moving the pots to a drier area for a while to allow the soil to dry completely. Not exactly sure what causes those red/ brown spots, but I think it is initiated by stress though. Mine get that way also, and then those leaves eventually die. But new leaves grow and the bulb seems fine. If the bulbs start to get squishy - or slimy - , i would pull them out of the pot, remove the squishy layers, let the bulb dry out completely for several days or longer, then re-pot them into new soil.
