Amelia Earhart ran out of gas. There is evidence that they just ran out of gas. They found a window washed up on shore from the ocean that matched their plane. There is proof that they were running out of gas anyway as Amelia radioed in saying they were low on gas and couldn't find the island.
Exactly! People are looking too much into it. It is simple. There is proof that it happened anyway. I highly doubt that they were captured or anything like that. I also could see if they crash landed on a different island but them getting captured or them being spys is not very believable IMO.