Julie,
Where does the voltage come from to drive this current? The grounded and grounding conductors are bonded together at the main bonding jumper. If you bond them at another location the only voltage that could be available to drive the current would be the voltage drop on the grounded conductor between the 2 bonded points. If this voltage is enough to drive ~5 mA then the GFCI will trip even where there is a single current sensor. If there is no load on the grounded conductor to the GFCI, then there is no voltage drop and there will be no current flow.
Don