The more applicable question is when/where/how often can a race car be driven vs. a street car. Do you need to belong to a private country club type track do maximize a race car or to even learn the race car (not so easy to do on a typical track day).
How much more does it cost to attend a track day with a gt3x (full race team support), how much notice needs to be given to a race team for the support for a track day, how easy is it to do a u-turn if you can't attend. I can decide to attend a track day the night before with senna, I can do a u turn and not show up, I don't need any assistance, I go through a set of tires every two track days and I go through about $500 in brake pads every track day. It's very cheap to track senna/street car.
What is the prize money given to the fastest car on a track day.
To answer the question; at laguna seca; it's going to be a 10 second difference between the two (it hasn't been tried yet) and the only way this can be achieved is if you have the track all to yourself.
Race car as significant as this is not really practical for the most part.
I do know the owner of the car in this video. He loves the car but goes back and forth on track days with it and his street car (practicality and all).
Race cars for track days is a wet dream for the people on the sidelines.