Having two or more clay bodies in the mix produces some interesting results, and, rarely, will create a body which is better than either of the two parent bodies. This variation is one reason I recycle, the others being a temperamental aversion to waste, and my fabled frugality.
*The exceptions I mentioned earlier are clay which is only a little too wet, such as a bit of cut-off rim. I keep a small bowl lined with a piece of canvas near my wheel for these bits. The canvas wicks away just enough water that these don't have to go through the recycle process. Believe it or not, it makes a difference!