I'll add that worsted is a firm, possibly lustrous, well twisted, strong fibre, with all the fibres aligned along the length of the yarn. Woollen is light and fluffy with air trapped within the fibre, it's lighter and loftier than worsted-spun, and tends not to drape. The fibres are spiralled as they are spun off the rolag, not aligned like Worsted
As Sally says, most of us do something in between. I certainly don't do long draw, nor do I do very short draw, but again something in between to suit the staple length. I have a feeling mohair is normally spun worsted, but I've never spun it so I don't really know.