Very sloppy lazy article really.
For example - Fergus doesn't seem to understand the very fundamental difference between zero-rated for VAT and VAT exempt ([broken link removed]).
The reason for exemption (note: not zero rating) of ballet classes is also explained, if he had been bothered to look: [broken link removed]
The question of membership shows another fundamental misunderstanding of what VAT actually is - in order for VAT to apply there has to be a taxable supply in the furtherance of a business - by definition a private sports club is not "in business", it exists purely for the benefit of its members and the wider community. Extending the logic of charging VAT on club memberships, you could end up with charities having to hand over VAT on donations received.
The suggestion that coffins attract "luxury" rate VAT is also a complete red herring - ([broken link removed]) - The supply of wreaths, coffins, etc as part of funeral account also exempt. However, the commercial supply of coffins manufactured by the undertaker (e.g. to another undertaker) is taxable at standard rate.
There is a logic behind all of the VAT rates - there's a huge body of legislation underpinning the whole system, it's not simply a case of someone picking a figure out of thin air, or bowing to pressure from a vested interest (although being the real world no doubt there will always be some close calls that will see pressure being brought to bear).
Fergus also omits to mention that there is no longer 40%+ relief on medical expenses, it has been standard rated (20%) for several years now.
Shoddy workmanship, Ted.
As for your own example of raw peanuts vs salted peanuts - the first is a raw foodstuff, the second has been processed (Value has been Added...).
For example potatoes are zero rated. Chips are also zero-rated, until they are cooked and ready to be eaten, when they become VATable at the reduced rate. Same thing with the potato waffles; zero-rated if raw or frozen, taxable if sold hot.