St. Augustine.
MayorShinn, St. Augustine can & does look like the grass you pulled & posted a photo of. Given time, that piece would likely grow roots & "run" just like you read. The thing is, it can get tallish & do what your example is doing. When the grass is lower to the ground, especially down at the growth line it does develop the roots earlier & thus the blades appear shorter. If it weren't dark outside right now I could go pull some of my St. Augustine to match both your examples. The root development also depends on the weather ~~~ the temps., how much moisture there is/has been recently, even humidity plays a role as well as "growth season". Even though you are in Texas, this is not the growth season being that winter is breathing down our necks.