This also has another benefit of work sharing. A production like `A B | C B` will ensure that in case parsing A or C consumes the same number of characters, the work to parse B will be shared, despite not literally factoring the production into `(A | C) B`.
It's a bit harder to adapt the technique to parsers because the Thompson NFA always increments the sequence pointer by the same amount, while a parser's production usually has a variable size, making it harder to run several parsing heads in lockstep.