Long time lurker here. Mr. Neville, the story Ric linked in the first post has photos. Click the arrow on the right side of the photo of EA and the Electra at the top of the page. The next photo is of the "Airwheel dust cover," and the third photo is of the "APU cover plate." 
Thank you Mr. Seats.

I see the bent-up 'dust cover' and I guess that can be more or less compared to details from the Airwheel manual / catalogue - IF the person investigating will do so and provide more. I see the suggestion of a fit by the proximity of 'dust cover' to 'wheel' - and perhaps the fellow holding is expert at Airwheels and knows. It remains to be conveyed without ambiguity.
Until then, it's so much junk by all I can tell from that picture alone.

I have no idea how the nifty weather-worn 'red' (it is) "APU cover" would relate to NR16020 - or any Electra. Despite the familiar shape, it does not relate to the battery plug installation on the nacelle that is known of - which has no cover. That battery plug is the closest I can get to anything remotely close to an "APU" for ground starts. It's actually cannot be related to an APU at all if it is part of an Electra, which the model 10 Electra did not have aboard.
There again, those claiming these parts to relate to Earhart need to show a clear correlation to something on her airplane. All we have here is a lone, intriguing but ambiguous oval red-painted cover for something. The two screw holes (I take them to be) actually suggest a cover for something other than a battery plug, by the way - there'd be no place on the battery plug for retaining screws as suggested by the holes in this plate. I suggest look the bird over for some access port somewhere that uses similarly spaced screw holes for security. It may be in the guts of the airplane - a gearbox or something in or under the cockpit floor, etc. Good luck.
Afterthought - oddly, it may even be found in time that this was an external cover for something on a Japanese airplane that happened to lie within the bounds of one of those infamous big red 'dots' (Monty explained it better upstring) that was painted onto their warplanes - that alone would be a neat find, whatever it is. Earhart's airplane was not trimmed in 'red' but international orange, so I doubt that match will prove out for reasons of paint, either.
We've faced the same challenges with 2-2-V-1 and the window patch - still do: it's tough making something that
might fit prove into something that
did fit. We're still going to all lengths to get photos, etc. to back up the 'might be a fit' effort. 2-2-V-1 is clearly an oddball - no obvious match to mother structure, but innovated; if it came from another type it still is not an obvious fit so far, despite all the tempting 'matching rivet lines' that have been pointed out (they've been as thoroughly checked as we know how to do - no match).
Having been a tiny part of that effort I can appreciate what our Marshall Islands friends now face to make even 'obvious' Electra parts fit the stepdaughter's foot that she might be brought to court. Those articles are not obvious to me so far, and somehow I am not optimistic for the outcome they face. Maybe the red cover sorts out to be distinctly 'Electra' - maybe not; even if the 'dust cover' is a match to the Airwheel, I'm not sure the Electra was the only user of that type of wheel - or that it wasn't copied by the Japanese, in fact. That is something else that would have to be sorted out beyond doubt.
But my hat's off to any who undertake all that to make this stick - or to stomach reaching a negative in their hypothesis. It is not an easy 'game' - and in fact as I've learned, it is no game at all but a lot of hard work.
I hope the legalities will be resolved well enough, but what Ric has described is troubling, to say the least. It's uncomfortable to think of holding ill-gotten stuff to make this point. I'm sure that somehow these explorers will have to find a way to make that right. Messy, and something for the whole community to learn from - get your bureaucratic ducks in a row before you start shooting. Above board relations with the host country and legitimate recovery are among tne details that separate the games from hard work.