There is often confusion on shock measurements, mainly due to the way they are presented.
When we measure the forces from the damper over a single sine wave input ( one turn of the crank ) the most common output we look at is the "football curve" plot of load Vs displacement. We can also look at the force/velocity plot which will give the output you saw, and which riderate has accurately explained. However, these days, neither of these is the way we measure and present damping force.
What is typically done is that we run a series of sine waves at various frequencies, and the software records the peak compression and rebound forces at each frequency. These discrete points are then potted as a single force velocity line as the "characteristic" that we use to specify damping levels. For your purpose, this is the output you will want to use.
Damping models give output similar to this latter line, simply because they don't (typically) include the more complex real world factors that make the real damper act as it does.
The raw load/displacement and load/velocity data is however very useful if you really want to understand what the damper is doing.