Just to put a final note on this, I used the µCurrent Gold to measure the actual leakage current on the 1mV/nA scale. It floated around between 0.5mV and 3.5mV with the my Fluke 87V reporting an average of 2.0mV, so I would expect the leakage current to be around 2nA. Given a fresh 550mAH battery, it would take 275,000,000 hours to deplete the battery at that rate—31,370 years. (Assuming a 10 year shelf-life, 550mAH would run 10 years with an average draw of 6µA, so I'm pretty confident the circuit has an equivalent of zero draw in this application.) I have a nice scope on order so I'll see what that fluctuation looks like and if there's some strong periodic pulse driving the fluctuating reading, or if it's just noise.