The obstacle course is one test of several. So you have regular “flat” ones, and then an obstacle one as an additional challenge.
They do incorporate a freestyle in CD - Here’s Jeff Sanders doing a pretty nice garrocha freestyle:
There are some others out there that show one and two-tempis although the quality isn’t always there - I suspect it will be at some point.
This came up in my searches - not CD, but nice western pirouettes, and definitely a thing of beauty: