So no-one knows why the 'innocent' Dad was overlooked and no-one knows who failed to spot his statement. No-one knows if LP passed the statement to the PJ, and if they did, what happened to it next. Very informative.
It's possible that LP lost it, just as it's possible it was just passed on with whatever else came in. The PJ weren't interested in Tannerman anyway, once Jane couldn't identify the person as Murat. They then seem to have decided she'd made it up.
They were interested in Smithman, but that wasn't Murat either. And then they only appear to have pricked up their ears when Martin thought it might have been Gerry.
Did they ever actually check the night crèche records? There are no sheets in the files, yet there are Tapas reservations, the day crèche ones and accommodation bookings.
If it is accurate that crècheman contacted LP, then it wasn't the PJ requesting LP to follow up on records they'd obtained. If they had got the records (and they're simply not in the accessible files), and had asked LP to follow up and contact then, there's no correspondence to that effect.
The GNR and the PJ did ask a number of people whether they'd seen a man carrying a child or anything suspicious, but I can't see anything to indicate that the PJ had been asking if they themselves or someone they knew had carried their own child home that night.