In 32 years, I have never ever seen a case of transmitting herpes via utensils or cups. Herpes can be present in saliva in very small numbers.
HSV 2 genitally sheds more frequently than HSV 1 genitally. But HSV 2 orally sheds very infrequently and certainly less than HSV 1 orally. Outbreaks would also occur very infrequently orally with HSV 2.
HSV 2 genitally does not move up to the mouth region, absolutely not. Nor is the reverse true. A person can contract HSV 2 genitally and orally at the same time by having intercourse with and giving oral sex to the person with HSV 2 infection.