And by "too posh to push" I mean can't be ar$ed to do it "naturally, want to fit the birth into a busy schedule or want it early to avoid stretch marks. That kind of thing.
Obviously where there is a medical need (and by this I include maternal fear/distress where it can not be allayed beforehand} then yes, they should be provided by the NHS.
In the same way, I did not expect the NHS to provide me with a birthing pool, pay for the electricity and increased heating costs or provide me with food for my home waterbirth.
(yes, I know this will descend into popcorn and hard hats but I don't want to clutter up the other posters thread )