Correct me if I'm wrong, but I don't think the OBDII port is required to supply power when the ignition is off. If that's the case, then the only think that would persist power would be either a battery (unlikely), or a capacitor used to filter the voltage supply. BTW, could a lower voltage cause the SG to dump memory? Possibly a lower temperature could affect the chip and support circuit.
It seems to me you could solve (or greatly reduce) this problem by feeding the SG through a diode (a kind of one-way valve) with a larger filter cap on the SG side of the diode. When the ignition is on, it charges the cap until full. When the ign is off, the cap discharges through the SG. Size the cap according to the SG current draw and how long you want it to keep alive. The diode keeps the cap from 'feeding' back to anything else in the car though the OBD port.
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Reality is merely an illusion, albeit a very persistent one. - Albert Einstein
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