The use of a toe-out static setting on many 'race' cars is often based on the belief that this increases the maximum lateral acceleration capability of the PAIR of tires on that axle. It's a cheap form of Ackermann steering in that at some steered angle the pair of tires works better together. However, as is often the case, this concept is very dependent on the properties of the tire construction, rim, and pressure. Tire tests can easily reveal whether this tactic is effective. A plot of lateral force vs slip angle at multiple vertical loads will indicate where the peak force levels occur. If the peaks line up on a vertical line, there is no point in running other than parallel steer. Each tire operating at drastically different vertical loads will peak out at the same slip angle. Yes there are some other factors involved, such as tire aligning moments on each tire and their camber positions. And this can be addressed by steering linkage geometry too, but not easily adjusted at a track on race day. But the tire data tells the tale.
The drawback to all this theory is that 'optimizing' one end of the car (front in this case), tightens up the grip on this axle. Without an equivalent 'improvement' in the rear grip level, there is a risk of making the car 'worse'. So, the front steer change makes the car more 'loose'. Yes, if the car is a disaster to start with, a driver will beg for a fix and this might help, but only if the tire responds as imagined.
Yes, this could work on the rear, too, but tractive force compliance steer may be the benefactor in this case. Same deal for FWD sleds.
Unfortunately, my library of 'race' and high performance tires, shows that there would be little benefit to differential inner and outer steer angles. This is because the load capacity of these tires is VERY high (I.E. the tire's load rating is much higher than the corner weights. Keep in mind that we're not talking 20 degrees of upright/knuckle steer angles, but more likely 4 to 5 degrees at most. And the curvature values on the track come into play, too.
But it makes for getting some really good bullshit points by hucksters selling books, articles, and bootcamps. In God we trust, everybody else we're gunna need some data...