Fruity, I've seen something like this mentioned here before, but I got the impression there are two major drawbacks to those people who might consider it. I'd love to know more too...
I think it MAY be possible, but the problem arises with the fact that birth is unpredictable and what happens in cases where the woman goes into labour early. The consultant you book HAS to be available at that moment in time and the staff also can't be busy elsewhere. If you make it to your ELCS date, thats all well and good.
If you don't... well what happens then? I think that this is why, although it theory in possible, the reality for women who want to go down this route, the options and limitations of it make it near impossible to get and unacceptable to those who are most desperate and are therefore ended up looking into private care in the first place.
Or if they want private care full stop - being in a private room in an NHS hospital with all the same staff otherwise and same facilities makes it a little pointless and unacceptable to those who want a "better" experience. And I think they still can't guarantee you getting a private room; if they are all full when you roll up, the impression I got was 'tough'.
I would love someone to tell me to the contrary and that they had done it and I'm wrong...