There is Herpes Type1 which is the cold sore on the mouth and there is Herpes Type 2, the genital one.
They are two different strains of virus. I think it's pretty unlikely that Type 1 would infect the genital area and visa versa.
However, I know that when there is some immunosuppression in a body that the Herpes virus can become systemic. I have seen it in sputum samples and throat swabs. I am not sure but I think this was Type 1.

Lisa