I'm little enough of a hardware person that I'm just interested for the reasons the OP mentioned; constantly switching between AC and DC and AC and DC is obviously inefficient, and batteries are expensive enough that it's probably cheaper to add a DC circuit than to double or triple the battery capacity.
Tesla's powerwall claims 90% round-trip efficiency (AC in vs. AC out) and most SMPS power supplies are also 90%+efficient as well so you are losing <20% capacity (not 100-200%).