toe in / out - how it works
The examples of lifting off may be correct, but they are not the actual reason for toe in / toe out or how it functions. If the toe out, etc. has helped - leave it be.
When the aircraft tracks down the runway (as with a car, but, slightly different) we will take toe-in as the first example:
If the aircraft turns slightly to the left (nose left) the right wheel will drag more, while the left wheel is now presented as straight, will have less drag (it's rolling straight now), thus the right wheel tends to scrub, and pull the aircraft straight.
example:
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