On Gulfstreams, the half of the main gear doors that attaches to the gear strut is held at 2 points. At the top, it is fastened well, but at the other end it only has a single long rod about 6 inches from the bottom. This half of the door is about 15" wide and 24" tall, with it 1" thickness exposed to the wind.
If the aircraft was in any kind of sideslip above VLE the rod would probably snap and the door would twist and possibly fly off.
The part of the nose gear doors attached to the nose gear would be the next thing to bend, especially since it presents quite a bit of surface area (8" wide by 20" tall) into the wind.
What would occur if the gear was operated above VLE or VLO is a completely different scenario.