I don't think they sulfate. I think the problem with Li batteries is the touchiness of the charge cycle, and the potential for fire if you try to give them too much current too fast. This might also happen if you try to drain them too fast.
My experience is that they are stable being stored without charge. I still have a ti Powerbook with the original battery, that spends most of its time in storage, and that battery will still take a charge and power the computer for a while, but not as long as it used to. They do wear out like other batteries, but in my laptops, cameras, cell phones, and camcorders, they seem to be fine if you leave them in a dead state.
I'm not a battery tech, this is just my personal experience.
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