I had managed to completely miss that section of the rules...
If I could delete this thread I would -- that Short Game is pretty awesome.
It is. I played two games of this so far, it works really well. Just not with inexperienced players. Also, you get to try new stuff, as you get different advances as you might have bought yourself.
On the Basic AST it's pretty fast, on the Expert people will stand still for 2-3 turns before they can advance for the first time.