Interesting video indeed!
Firstly, this happened in a 'Gale', and obviously the tugs used (at least the ones we can see) were of inadequate power for the job.
One has to bear in mind that the tugs are under the complete direction of the ships 'Pilot', and only react to his or her's orders, unless in the case of a life threatening emergency, which in my opinion was the case here.
Notice that the closest tug didn't apply power until the last moments? That makes me wonder what the pilot was thinking...or the tug had some mechanical or communication problems.
Likely, the only thing that saved that tug was it's somewhat 'narrow' hull and narrow stern

Just what the master and crew are up to aboard her is anyone's guess, but likely attempting to save the tug.
Your thoughts guys.........