The possibility is quite high. I would actually worry more about the idea of putting those shallows side by side on a long hive. Once the girsl get up in one of them during winter and run out of honey, if it's cold they won't be able to go back down and up again to another super. If I were going to give them that much honey to over winter on, i'd put it right above the honey they have in the lower long hive and stack it up.