Not sure what you are being downvoted for. Your tone may seem pretty alarmist (but that has been the norm for anything cornoa related). Otherwise it's true.
mRNA vaccines are more analogous to temporarily running a subroutine.
But I guess the parent comment was using “reprogramming our bodies into vaccine factories” as a hand-waving description rather than a technically precise term. And that description is then roughly correct: with RNA vaccines, it is correct to say that our bodies are being triggered to produce the actual “vaccine” themselves; namely (at least in one type of RNA vaccine), the body’s cells are translating the injected mRNA to produce antigens, which is what a conventional vaccine contains, and which, in turn, produces an immune response.
But, "literally" actually has a specific meaning in english, and it's not always to be literal.