Some time ago, I took one of these Lithium powered packs apart (just because I'm nosy, not to dispose or destroy it). Indeed there's some rather complex electronics inside, converting the typical Li-Battery behaviour to the expected NiCd (or NiMH) behaviour of the scope (as in DC/DC converters, and probably a Li charge controller and balancer, all that stuff that isn't required for a Ni based battery). I'd guess neither the external charger brick nor the internal charger of the oscilloscope is able to correctly charge a Li based battery. Apparently they've built all the electronics (DC/DC etc.) to interface Li batteries to a scope and an external charger that expects to charge Ni based batteries. Didn't care about the data line and protocol while looking at it.