On the serious side... I also hope that one day we will know what actually happened to her.
I read a book awhile ago with LOTS of references, etc. Trying to figure out WHY Amelia went down. It was very interesting. Started out with her early history and huge flights (first woman across America, Atlantic, etc.).
One of the possibilities was that a poorly labeled radio antenna switch (from talk to morse-code) was a factor. At the quarter-hour she would try to reach the island on voice, and on the hour and half-hour by voice. But - she might have had it backwards. I think it was also the “beacon detector” - it could swivel so she could turn it to get the best signal from the island and follow that strong signal in.
Also, the monitoring systems on the island didn’t have enough power - so they used a ship in the bay. However, the ship was still on Hawaii time, 2.25 hours off or something. I’m not clear on all of those details, but it was something like that.
The investigation of her missing came up with numerous new rules, etc. One of them was Greenwish Mean Time so everyone would be running on the same time.
A partial skeleton of a Caucasian woman of her height was discovered on that island in 1940 along with various equipment that she was known to have with her. As mysteries go this one is not very mysterious.