mminehan is correct. The hubs should maintain their connection even when your WAN connection is down unless Logitech has changed something (Which I wouldn't put past them). I have had issues with running the hubs long term without WAN for some reason, but short spans of time I've never encountered it (< 1 day).
Did it give the generic remove device refused connection message?
Did it give the generic remove device refused connection message?
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