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Sounds like you're on the same track. Watching amperage with a steady 13.5v might really be just a way to measure what the self discharge rate is at that voltage. A lead acid near 100% I would think have a significantly higher self discharge than one at 90%, I'm thinking that is where the oem's are trying to grab a little fuel economy from. A lifepo4 or capacitors are at a lower state of charge at the same voltage, so there might be very little self discharge. You wouldn't need to worry about stopping current flow to a lifepo4 because it wouldn't be fully charged anyway.
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