I think the issue regarding her living in Curaçao is that many people suggest she was abducted into sex slavery, which I agree can be a sensationalized narrative.
However, there are documented cases that the public isn't privy to. So, to say "there are no documented cases" relies only on the information publicly available to us.
Not every victim's story is published, either in peer-reviewed journals or discussed openly beyond their inner circles. The sex trade is filled with shame, and the women and men involved often exist in secrecy.
That being said, I agree that it's unlikely Amy was outright abducted with her mouth taped shut or a gun to her side. What I can speak to is many years of experience with the inner workings of the sex industry. I've crossed paths with pimps, working girls, brothel owners—you name it. I've heard the stories, seen the patterns, and witnessed firsthand how people can become entangled in that world for all kinds of reasons, some of which start off feeling like choice.
What I can conceive is Amy leaving the ship willingly. We saw in the documentary that the announcement about her disappearance wasn't made until most passengers had already disembarked. Nobody was keeping an eye out for a woman matching her description. The documentary showed visuals of how disembarkation looked, and I can see her slipping away unnoticed.
Amy wasn't known by every individual on the ship, not even close, and people are typically busy paying attention to other things. The saying "truth is stranger than fiction" isn't just a cliché. She didn't necessarily have to be abducted to become involved in the lifestyle. She might have initially been drawn to a temporary escape from her normal life. Maybe it was the allure of adventure and freedom that appealed to her.
However, what started as a seemingly innocent exploration could have quickly turned dark. She may have found herself in a situation where she was no longer free to leave. Initially, no one would have been aware, but eventually, some people did notice. Multiple witnesses reportedly saw her, and even known individuals, like the taxi driver, had heard rumors.
I'm much more open to the possibility that Amy did not fall overboard, or commit suicide.