Couple of things here.
1. If the aircraft was being towed it is the tug crew's responsibility when parking on stand.
2. If the aircraft was live and being taxied by the crew they would rely on the VDGS to safely park and just by the VDGS being on and giving the cforrect parking details indicates to the crew that the stand is clear of any obstructions and a FOD check has been done.
3. At airports where some stands are used in different configurations. It is normally the responsibility of the dispatcher to get there early enough to re position the airbridge for the aircraft type arriving on stand and of course do a FOD check.
4. Airbridge maintenance requires to be carried out and usually the airbridge has to be extended to complete this. At busy airports you cannot close the stand for days on end becuae of the impact to the operationso the stand is restricted. For example an A380 stand could still be used for B777 etc which can safely park either with a marshaller or VDGS.
In view of the above I reckon the dispatcher has not arrived to reposition the airbridge ready for the towed A380 and then the tug crew have not kept an eye on the wing tips when parking ( standard practice and should not assume anything). Basically a catalog of errors.