[1][2] The woolen and worsted process both require that the wool (and other similar animal fibres, cashmere, camel, etc.)
The resultant fabrics will be classified as being either woolen or worsted, but this designation is assigned during fiber processing and yarn formation, not in the cloth or finished garment.
[3] Woolen yarn formation is also very common for knitwear, where the resultant garment has some bulk and the requirement for visual aesthetics (of fibre alignment) is minimal.
Most handspinners make a blend of a woolen and worsted yarn, using techniques from both categories, and thus ending up with a mix.
The first step to spin a true woolen yarn, however, is to card the fiber into a rolag using handcarders.