The last two statements are correct. The only thing that they don't teach you is how to ride a bike. What i mean by that is you should already know how to ride a bicycle for balancing purposes before you come to the class, THAT is what they dont teach you. I went in there with no knowledge of riding motorcycles whatsoever, and I aced the riding portion of the test of all other experienced riders. Go in there and soak up as much as you can, you will walk away having learned something. I picked up a '99 R6 a couple weeks after the course and felt it was a good bike to start out on. Respect the power, and take your time, even after the course. For the first half of the week i stayed in my residential area, then i moved out to the big roads, then the interstate. I found that each step i took got me not only more comfortable with the bike, but also with riding on the roads in general. Its a harsh and cruel world out there when you're a biker, so always keep your guard up when riding.
I highly encourage riding courses, and might even consider taking the advanced course later in the summer since there's usually no wait for advanced courses. Never hurts to learn new things.

(edit: TNCC does offer the course, but i'm sure they are full for spring. Try for summer, and atleast get ur name on the list. If you are hell bent then show up and wait in line incase there are no shows.)
Welcome to the addiction.