They landed safely, that is what is important. There is great cost to have extra fuel on board, you need enough, but it doesn't look to me like more was needed. Unless an investigation determines that this emergency would happen often on that route - even then it seems like they should have been told to land in France or someplace long before they got to their intended destination to discover landing was impossible.
6 minutes is way out of the comfort zone. They might not have made it in that case.
So I don't think 220kg is enough to do a go-around in a 737 (well, a go-around would've been initiated with a bit more than 220kg in the tank - they burned some taxing to the gate - but you get my point.) I've read around 2,300kg for takeoff and climb on a normal flight in a 737-8. A go-around is going to use close to that, it's a full power takeoff but a much shorter climb phase up to whatever procedure is set for the airport and then what ATC tells you.
I just flew 172s but even with those little things we were told, your reserve is never to be used.
These people came very, very close to a disaster. Fortunately they had as much luck left as they did fuel.
So yes they will do an "investigation". It's not a criminal investigation. It's to understand the circumstances, the choices, the procedures, and the execution that ended with a plane dangerously close to running out of fuel.
This will determine if there were mistakes made, or the reserve formula needs to be adjusted, or both.
Don't tell me about cost, just stop. Let MAGA-Air accept some plane deaths to have cheap fares.