In reading a little more about the technical aspects of how steering systems on automobiles work, there are a number of reasons that could contribute to a lag between steering wheel inputs and the vehicle's response.

It can depend on how the steering wheel linkage etc. are constructed. It can also vary depending on maintenance issues and wear and tear in the steering box and other components as well as things like the condition of the tires, alignment, and so forth.

Assuming the SUV is still driveable, one would hope that a comprehensive forensic analysis would include actually test-driving the vehicle to try to determine these characteristics of this vehicle.

Having said all of the above, if you are ever out with your vehicle and the police tell you to stop and get out of the vehicle, but instead of doing so, you choose to flee the police and one of them happens to be directly in front of or very close to your vehicle (front, sides or rear of the vehicle for that matter), it would be a mistake to believe yourself to be Mario Andretti or Knight Rider or Speed Racer with the magical ability to operate your vehicle with the adeptness of Neo in the Matrix manipulating time and space at a whim.

In fact doing so would be sheer stupidity on your part, and you are clearly assuming the risk.