This smacks of a an entrepreneurial young chancer having a go. The business is founded on the hope that the smug evils of the British class system exist, rather than evidence of them.
Many startups are founded on the idea that there is huge profit to be made by targeting the rich. Sell 'high-end' services at crazy prices. The inflated price is one of the KSPs of the product as the exclusivity itself is what's on sale. The fact that these services exist doesn't really prove anything, other than that there is a perception of something there to exploit. Gray & Farrar looks like a website built by young business guys who have watched too much Made In Chelsea, and The Apprentice. The website is genuine, but yes it's a parody of the British class system, just not a knowing one.