I don't have the time to listen to the ground/clearance delivery feeds in the hour or so before departure myself, but as one user commented on the Youtube video:
The facts are available by listening to the feed from Ground. An IFR clearance to Athens was given and flight plan filed. Vistajet 868 asked to depart via the opposite runway due to the aircraft being too heavy for the active runway (obstacles on departure flight path). Ground agreed this could be done only as a VFR departure. When transferred to the Tower frequency the ground controlled did not pass on the details to them correctly. Consequently, the Tower thought they intended to reland. The aircraft was then asked to manoeuvre in an area too small for it due to it’s heavy weight and minimum speed.
Sounds plausible.