Actually, this page does refer to multiple strains of genital herpes, it's just not terribly clear.

Well, no, not exactly. Given that genital herpes can be either HSV-1 or HSV-2, it's really not very clear at all what they're referring to there. I assumed they referred to "genital herpes" as a reaction site, not necessarily as a specific strain of the virus.

But thank you for the second link.