But their assumption seems to be that the owner is exporting it personally, and can thus (subject to being run over by a tram on the way to the port) give such a promise. After a long series of letters to them in 2004, they agreed to alter their wording to those you quote, but still, I believe, tell you if you ring up to ask, to hand parts 1-10 to any non-UK keeper, while the form says 1-8 must be returned to them on sale. You are still signing that something will happen over which you have no control once the car is driven off or loaded onto the transporter. So you don't actually sign an untruth on a post2005-ish form, just something that may or may not be true. Meanwhile, poor Johnny Foreigner gets his "new" car with either no documents at all, or, at best, half a V5C showing it's still registered to John Bull in the UK.