Planes typically land with little fuel left (obviously enough for emergencies etc but they are practically empty, it's safer and more efficient)
If an aircraft is anticipated to land with fuel for 30 minutes or less they must make a mayday call, and there's an incident report to fill in.
Yes they want to land with as little fuel as possible, but regulations require them to carry more because we know what happens when you let airlines carry less.
https://simpleflying.com/minimum-fuel-requirements-definitio...