The spec tires are Lilac compund for WGT , there are no spec compunds for GT10 to my knowledge. It is the same rubber family as Purple, a little softer and therefore a little more bite.
You can't really just insert them into the lists you posted. There are different rubber families in those lists and therefore different bite characteristics.
For carpet the lilac compound works great for WGT. They wear like iron and have just the right amount of traction.
At any rate, if you are required to use the spec tires at your track you don't need to worry about where they fit in, just use them!