That is very exceptional. I've written fuel estimation software for airliners (cargo, fortunately), and the number of rules regarding go-arounds, alternates and holding time resulted in there usually being quite a bit of fuel in the tanks on landing, by design. I've never heard of '6 minutes left' in practice where it wasn't a massive issue and the investigation into how this could have happened will make for interes…
Naively as an outsider, this situation seems like everything worked as intended? On a nominally 2h45m flight, they spent an extra 2 hours in the air, presumably doing doing fuel intensive altitude changing maneuvers, and were eventually able to land safely with their reserves almost exhausted. I’m a little confused by what there is to investigate at all. How much fuel should they have landed with?
One of the things the reserve is for is if the plane immediately in front of you fucks up the runway, you now have to divert to the next airport. You need at least enough fuel to get there and for the tower to shove everyone else out of the way so you can make an emergency landing.
There are other reasons someone could abort a landing and have to go around again, besides debris in the runway. And sometimes two of them can happen consecutively.
In the case I’m referencing, it was pointed out that p the pilot made things worse by going faster than he was told to fly, using up fuel and also making him too close to a previous plane which forced him to go around the previous time, so it wasn’t all the tower.