@Alfred
Oakley International, which boasts former British security service and FBI contacts, was hired to monitor the Madeleine Hotline, carry out detective work and review CCTV footage of possible sightings of the missing girl around the world.
Why would the McCanns ask Oakley to investigate and report on their own part in the case? If they did specifically ask them to do it, why not ask for the report before sacking Oakley?
What did the investigators stand to gain by handing over a report which was hypercritical of the parents and their friends and two e-fits which had a look of the father? They were chasing payment at the time, and the report was unlikely to persuade the parents to pay them, quite the reverse really. The McCanns were not keen on being investigated, as the PJ discovered.
DCI Redwood publicised the e-fits, knowing they were connected to a report criticising the parents and Jane Tanner's sighting. At the same time he largely got rid of the Tanner sighting.