No such thing as an overweight landing in a G500/G550? I don't think so. How about, if you don't trigger any exceedences with your overweight landing, you do not have to do an inspection.
From Gulfstream; "There are procedures in Quick Reference Handbook that permit a landing beyond the normal landing weight with no follow-on Overweight Landing Inspection required. The QRH Overweight Landing procedures notes that "The overweight landing inspection is not required if the recorded landing vertical acceleration is within limits." If the maximum vertical acceleration recorded during a G500/G550 landing is within the parameters of this chart and no extremely high side loads were experienced, it is considered a normal landing and no inspection is required, regardless of the aircraft's weight."