How it should have ended (spoilers!)
For the first hour of this near sublime entirely typically French movie I just wanted to live in the world it had created. All the performances were faultless and the detail of the sets and plotting worked beautifully. Then it all started to feel a bit forced and ultimately we had a final ten minutes which seemed unrelated to and unjustified dramatically by the bulk of the film and the characters as we had learnt to understand them.
The section of the interview in the police station relating to how Auteuil's character was being set up was entirely false and it seemed the director was embarrassed enough by its' imposition as to chuck it away in less then half a minute. Cut out it would have had the effect of us simply sympathising with both him and her, and at the fade to black where the policeman says - 'You can decide what to tell your wife' cut to the credits with song playing over them (fully subtitled)
"It ain't like it used to be but it'll do."