No, that's not at all how it works.
It's called a limited slip differential, and yes the S2000 has one. Positraction was a name given to it by General Motors in the 60's.
"Positraction" uses differential pinions or clutches (there are quite a few different ways of doing this) to transfer power from the wheel that has no traction to the wheel that does have traction - IE, if you're going around a sharp corner and the inside tire begins to spin, it will transfer power to the outside wheel. Or driving in the rain or the snow.
The S2000 has a Torsen limited slip differential. I'm sure you can google that and fine tons of information on how exactly it works.
For a great read, buy the book 'Honda S2000' by Daniel F. Carney.