I did not introduce the slang "bingo fuel" in this thread to suggest FN/AE used that terminology, nor to suggest that it was common terminology at the time amongst anyone other than U.S. carrier pilots, nor to suggest that we use it here as standard lexicon when discussing contingency planning for the final leg of this tragic flight.
I used it because it is a very convenient (and specific) term, even if just military aviator slang, to use to explain a different conceptual approach to Noonan's possible contingency planning than that put forth by the LaPook hypothesis (i.e. box search Howland) or the Tighar hypothesis (NNW on LOP, then SSE on LOP to Howland), which in fact allows for either (or even both) of those scenarios by starting from the end point: running out of fuel.
If the contingency originally considered was a ditch at Beru Island (closest of the Gilberts) per Gene Vidal's hearsay evidence of Amelia's comments, then Noonan was compelled to consider alternatives because the corresponding equation, max fuel range = ditch at Beru + reaching Howland vicinity with no search time, was not very inviting.
Alternative A = LaPook. Box search for Howland until fuel runs out
Alternative B = Tighar. Reach LOP, then NNW for

, then SSE until fuel runs out
The "bingo fuel" concept simply constructs the contingency in reverse. Differences in assumptions around max fuel range among the various theorists notwithstanding, what is the most distant landfall achieveable that allows for at least some incremental search time in the Howland vicinity (as opposed to the zero search option offered by the Gilberts)? Manra, in the Phoenix Islands, offers only a slightly better prospect than Beru. The Gardner-Canton line, on the other hand, offers some time on station near Howland. Gardner's a touch closer than Canton. And Gardner has the advantage of being very close to the Howland-Baker line, with McKean and Winslow Reef also in the vicinity as possible "catcher's mitt" markers.
I draw my "X" at Gardner. "Bingo fuel" is the time to depart the Howland vicinity on a heading that approximates the LOP to the SSE to burn my last drops of fuel upon reaching "X". Whether the time between arrival to the Howland vicinity and "bingo fuel" is spent in a box search or cruising the LOP to the NNW and back again, or both, is irrelevant. The point of the "bingo fuel" exercise is to demonstrate that this contingency allows for the same possible outcome as an immediate return to the Gilberts but with three distinct advantages:
1) Time to search in the Howland vicinity.
2) Potential to spot Baker and thus navigate to Howland from Baker.
3) Potential to spot Winslow Reef, McKean or Gardner itself en route to Gardner.
I fully apprciate the criticisms of this approach. i.e. "you can't navigate from an unknown location..." and "a fuel calculation to reach X from Howland requires that you be at Howland...", and also of course the possibility that they didn't have enough fuel to reach Gardner in the first place. But if you're lost, something has gone wrong, and your contingency plan goes in to effect. The margin for error en route to Howland is greater to the North-South than it is for East-West, so if you missed the Howland-Baker "catcher's mitt" on either side (or right in between), flying SSE to 'X' after "bingo" is reached searching (whether box search or otherwise) offers the highest probability solution to the predicament.
(Apologies for duplicating many of the discussion points from the other navigation threads here ... I have read them all, including Gary's posts on his site, but wanted to offer my perspective).