I sincerely hope you are never put in a situation where you have to consider evacuating versus sheltering in place and potentially taking a direct hit by a tornado, but
PLEASE do not take your chances in a car.
Footage from storm chasers is absolutely not representative of what you will almost certainly experience if you try to outrun a tornado in a car. If you're very, very lucky you might be in an area with no trees, a clear and obvious tornado with obvious apparent motion, and knowledge of the local roads which would allow you to quickly pick a single direction to drive in. More likely, though, you (a) won't know where the tornado is in relation to you, (b) won't be able to see it because it's rain-wrapped, and (c) won't be in a place where you can obviously drive quickly in a single, straight line to avoid its path. This doesn't even include other risks like intense winds reasonably far from the tornadic circulation which could roll your vehicle, debris, lightning, hail (especially if you wind up on the wrong side of the storm and core punch), etc.
It isn't often that stormchasers perish in tornadoes, but it can and does happen, even to the best of them [1]. Storm chasers generally go to great lengths using significant knowledge, past experience, and real-time data to carefully position themselves in relation to not only the storm they are targeting, but other storms in the area in order to control their risk and overall safety.
I'm a meteorologist and I grew up in the midwest, and while were absolutely drilled on tornado safety, "evacuations" were never part of that preparation.
Again, I sincerely hope you never have to call upon the information from this post.
[1]: https://en.wikipedia.org/wiki/Tim_Samaras