Old King Coal, being from the boeings... I was a little surprised myself to learn the 320 has slides for the overwing exits...
What i hear through the grapewine, the evac was initiated after the engineers informed of the fire... could have been a confusion with the left/right from the ground end?
The video indicates the fire was rather small... Very small... I wonder why wasn't it doused immediately.
Also, if you notice the aircraft is in the parking bay... either no-one noticed that there was a fire during the taxy in or there was a fluid leak from the hydraulic that pressurizes the parking brakes...
Whatever said and done, everyone is safe! I hear the airplane is back in action...
Is there anything else you can ask for?
Good job indiGo and congratulations to the flight crew (the captains and the pursers) of the said flight! 