Yeah, knowing your swing and how it affects ball flight relative to ball flight laws is great for making the most of any ball flight monitor, I'd think. I'd agree that a few calculated parameters (if the science/numbers are good) isn't a killer either...depending on what information is crucial to you and your particular faults. Certain systems may be more insightful for readily available bits of info than others.
Here's an interesting thing I just noticed on TM re spin axis. Their new patent may give them a direct measurement of spin rate, but it seems that the spin axis is imputed based on the ball flight (where the ball starts and ends up).
I don't think in the Titleist video that the spin axis actually tilted much off horizontal. The ball curved primarily due to differential lift/drag on opposite sides of the ball, which I expect is what's happening with mud balls (dimples covered on one side).