I'm not sure the fact that the heli is aiborne and the FW on the ground is relevant - both are effectively manouevring on the airfield.
Common sense would seem to be to do what the pilot in the vid does - wait until the FW has passed before crossing the taxiway behind it.
The "give way to the right" rule would again mean allowing the FW to pass first.
A more interesting situation would be the mirror image, with the FW coming along the taxiway from the left. Don't think I would just assume priority from the right and blast across in front of him.