If you set toe in your kart leave the lock pin in push it 25 feet take not on end point... move just the rr of the axle rearward leave pin in steering lock start at same point and push 25 ft the cart will be more left of the first test due to rear tires are steering the kart more... I know you can’t drive with steering locked ... with the steering unlocked the front tires will have to be turned to the right on a straightaway to compensate from the rear wheels trying to turn/ steer the kart ....
You are not correct in both your explanation and your understanding.
The axle rolling determines the definition of 'straight' for your kart. When you move the RR back you move the front of the kart to the left. Sure it's going to turn more pinned with the right end of the axle back then not. That's simply because when you moved the front 'pinned' steering and front end to the left, YOU TURNED THE 'pinned' FRONT TIRES TO THE LEFT.
"with the steering unlocked the front tires will have to be turned to the right on a straightaway" Very true and only because when you moved the right end of the axle back you turned them to the left per your 'old' reference for what is straight. Turning to the right is not turning them, it's simply making the fronts go in the same new direction the axle is going.
Why do you think Late Models move the left end of the axle forward?
answer: for the same reason you moved the right end back. It causes the front end to hang out over to the left over the bank of the track, because the center line in the front has been moved to the right.
A lot of other things change to which may or likely need to be also adjusted to match up with the kart/car riding crooked down the track. When we were looking for more turn coming off or wanting to be able to turn left coming off the corner, we'd move the left end of our kart axle forward. We sometimes or probably usually did it when the track dusted up or lost grip mid turn out.
If you ain't got a gazillion hp to be able to out run who ever's behind you corner off, you got to be able to turn left coming off or in other words hold the thing down coming off the corner. But as with everything what you need to do depends on the track and how it races.