Of course; I use The Salt Flats example merely to make a point, as it is effectively not runway-length limited.
That point is that as runway length plays no part in calculating V1, then pilots surely have some leeway as whether they do indeed 'always take a post-V1 failure into the air'. I had, prior to my chat with my ex-BA mates, assumed that VI took runway length into account and therefore trying to stop after V1 would probably lead to an over-run accident.
Wasn't there a 748 some years ago that suffered a catastrophic engine explosion with massive fire after V1 and the pilot elected to stop straight ahead? Everyone walked away. It would have been unlikely the aeroplane and pax would have made it round even a very tight visual circuit had he flown.