They accepted the reconstruction which is what the passage refers to.
They were willing to return for that reconstruction.
And I have stated this previously too, its a great shame that a reconstruction was refused by Amaral and his team when it would have actually have been of greatest value. It was in fact the PJ who denied the McCanns the earliest possibility to be seen as innocent by their denial of a reconstruction on grounds that it would be bad for tourism.
I have never understood why a reconstruction wasn't done when the majority of people were there (tourists, OC staff, etc).
In the early days, they could have said that it was to check out the exact times that a predator could have taken her. They didn't need to say that it was to check who may have been telling the truth or who they suspected of lying.
Of course, there would have been media cameras in the early days.
So what?
After all the "leaks", I'm not really surprised that some people became suspicious of appearing in the media all over again.