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Weird, FBM gives me the "user is not available" message when they're not online.I used it all the time to send messages to my wife when she's not online; knowing she'll pick it up when she's available. In fact we tend to use it like e-mail in that regard.
> Skype for business (AKA Lync) absolutely does not store messages, although I've not used the consumer version.
Well not storing messages is one of the sales points of Skype for Business; if I recall correctly. Or at the very least encryption for confidentiality (which I know doesn't mean messages can't be stored). But in any case, the regular consumer version of Skype does store messages like I'd suggested. And like with FB Messenger, it's a feature of Skype I use frequently.