Been trying to stay out of this as this has been done to death any number of times and usually everyone has made up their mind before they post so it is usually a waste of keyboard time.
Anyway here goes. Been a paint chemist for more years that I care to remember and we used a number of solvents amongst them BOTH White Spirits and Mineral Turpentine.
The main one used in oil based paints was Mineral Turps, but for certain specialist reasons we used White Spirits because Mineral Turps was not suitable.
One of those specialist reasons was in oil based enamels for sign writers, these guys did a lot of sign writing on clear polycarbonate sheet. If we used Mineral Turps as the solvent in these enamels, the polycarbonate would (very dramatically) stress crack. This was due to the high aromatic content in the Mineral Turps. So we used White Spirits because of it's relatively low aromatics, ergo no stress cracking on polycarbonate.
We would also use White Spirits when we wanted to lower the solids content of our cheaper trade enamels without them getting too thin, becuase of the lower aromatics in White Spirits it wouldn't "cut" the viscosity as quickly as Mineral Turps.
I could go on, but basically the Wikipedia article is incorrect, what is called White Spirits in the UK is also called White Spirits in Oz, it is equivalent to Mineral Spirits in the US.
It is yet another example that you should always take anything on Wikicamps with a large dose of scepticism.
Think about it, why would a company like Diggers sell both White Spirits and Mineral Turpentine, why would Bunnings stock both, if they are the same product. They are not.
PS Can you guys explain to me why you find it necessary to quote complete posts that you are replying to when that post is right above your reply? So forum members have to scroll past those big slabs of text twice, very annoying. It is just as easy to hit Reply as it is to hit Reply with Quote.