Or maybe the resistor blocks the signal that tells the charger to shut off sending full power.....ever notice with the 01 psu that it has two noise factors to it. One when running and another when running and charging...
Never had an 01 so I'll have to defer to your experience. But in thinking about it it seems reasonable that the psu would be doing more work when both running the OQO and charging the battery since as Dennis has said in a related post, usage of the OQO while charging should have no effect on the charging rate of the battery.
Regarding the resistor, I would imagine the thing that stops the charging process is the circuit board within the battery. In other words, there may be an internal circuit board problem that would fail to pass the appropriate signal to that part of the circuit board (within the battery) that tells it to stop charging. In other words the psu+OQO (or the psu+adapter) is always making the same power available to the battery terminals but the limitation in charging of the cells is controlled within the battery by it's circuit board.