Absolutely not correct. They do work exactly like conventional vector vaccines, the only difference is how the genetic material of the foreign virus is delivered to the cells of the patient. The genetic material of the patient (the genes) is not modified.
Technically speaking ... the genetic code of the B cell receptor gene of B cells is altered by vaccines. The same goes for pretty much all antigens the body comes across. But that's the point of the adaptive immune system and is obviously not what OP meant.
https://en.wikipedia.org/wiki/V(D)J_recombination
