there is no proof that anything the crew said over the PA was literally true. They should be honest about their plans ("we should me at the destination shortly" or "we're diverting to XYZ now") but the particulars of fuel management and the regulations are not digestible to the layperson.

Hell, I had to unpack them & explain them to the pilots every once in a while. (They'd often form some interpretation that worked out "best" ... for them personally).