That leaves parental involvement... So what are your odds for parental involvement
No directly involvement in her disappearance if this was the scenario that actually happened BUT it does not stop there.
Since I don't believe Madeleine was able to open up the window and raise the shutters by her self, someone else did and there's only one option as I see it.
If this happened between 20:45-21:05 it must mean that Gerry knew she was not in 5A.
They have said in interviews that Madeleine would never have walked out without the cuddle cat, but maybe cuddle cat was with her?
One special event that puzzled the PJ Detectives and Amaral was when Gerry had to pee and walked the long way to the front door, I wonder if the reason for this was because he saw something lying a bit further up the road and he picked it up?
Could cuddle cat have been lying besides the road?
I don't know, but it's very plausible in this scenario.