It seems those who believe that Madeleine was abducted don't have a logical plausible theory showing who, how or why it happened. They just 'believe' it happened and some even hope she's alive, despite the statistical unlikelihood that she would be. It seems no-one is prepared to put any work in to support their beliefs.
I have a logical, plausible theory of abduction naming at least one of the participants. There are two easy ways to implement such an abduction. As to why, that would be conjecture given the absence of evidence.
And since I cannot prove that this is what happened, I would be well into libel land in laying out all of the components.
The core information was sent to Operation Grange some months ago, together with a simple check that can only be carried out by a recognised legal authority.
In the usual absence of feedback from OG, I cannot tell whether this simple test was conducted, or not.