Minimum Fuel
Actually, there is no real reason to get stressed over this.
What you are discussing really is the definition of the word 'minimum'. Viewed one way, this can sound downright dangerous - no wonder there are some worried and curt responses.
However, surely the definition of minimum is the lowest volume possible WITHOUT ENDANGERING ANYBODY or ANYTHING.
If nothing is endangered, then flying with the lowest weight has to be the most efficient way to fly?
Please correct me, if I am wrong.