surely the car remains theirs


Of course it does, just as a hire purchase car belong to the finance company, but at the end of the PCP contract, there is a balloon payment to be made for you to be able to purchase the car outright, but there is still a certain value to the car that started with the deposit you put down, and the payments that you made. It's not overly complicated, but it's certain weighted in the garage and the financiers favour.

That sounds more like a straight forward lease, I have leased my current van as I was unsure about how good the Transit custom would be for me, turns out it has proven to be a pretty decent van. I too will be having the minor dings repaired before it goes back but the big issue is that with ten months left on the agreement and only 2000 miles left before I hit 30k where I will be charged per mile. The cheapest option that I have is to buy a cheap rat box to run round in using the Transit for quoting only... I've just got my hands on a Doblo Taxi that has failed its pass off for £400 and when I replace it with a new van, break it for spares and get my money backNot all Deals end with you keeping the car.
My van deal means I will never own it and don't have any option to do so, simply hand it back after 4 years and walk away, not locked in to anything after that period.
The big problem with these deals is the residual value. They will crucify you for damage and an agreed pence per mile if you go over but they will give you sod all if you are under the agreed mileage which I almost certainly will be.
As usual it's heavily weighted against you.

I read somewhere that one chap pawned his car for a fortnight whilst he went on holiday. Said it was cheaper than parking it at the airport long stay car park, and next to no chance of getting damaged..I used to watch Posh Pawn on Ch 4 or 5 and you'd have these people living in luxury, flash cars, big houses in Weybridge etc etc and yet they have to pawn some prized possession to raise a few £K. Sad.