What is the expectation here about functionality? They are using some kind of COTS battery system to keep the cost down, but at the consequence of this safety qustion. Should these people expect any buyer to antipate this? Its not really a consumer product after all.
I think there is no shortage of battery management ICs, but the number that can arbitrate between external power/battery A/Battery B certainly eliminates 97% on your Digikey parametrics.