Have you got any references to that antiviral activity? On a quick search I couldn't find any.
I know it has some degree of antibacterial activity (most strong surfactants do) but at face value it looks the wrong kind of molecule for antiviral use.
SDS can, we use it in the labs as a detergent, and it works against HSV1, shown in lab studies bathing the virus in it will stop contraction in monkey kidney cells in a dish, and in mice, or within seconds of exposure in mice (I'm sure many of you know just how much mice studies aren't reliable). What you have in personal hygeine products will be SLS, not really effective against HSV1 in the lab (SLS is a less pure form).
There have been no human trials, it's a cat2 irritant when above 10% solution. Ethics bodies will be hard pressed agreeing to it.
Household cleaners will often contain it, and are effective against it, but you'll be in a fair bit of discomfort trying to bathe with those.
With the degree of similarity between HSV1 and HSV2, anything that works on one, will generally work on the other.
Most people have HSV1, it's in part why it's not tested for routinely. Another reason why, the tests used are highly innacurate (the accurate expensive test is only routinely offered to pregnant women experiencing genital symptoms). As in lots of false positives and negatives, and the standard test is poor at differentiating between the strains. Herpes is diagnosed almost entirely based on symptoms.
I really wouldn't worry about it. Most of us have it, most of us are asymptomatic, it's pretty benign. Just uncomfortable if you have an outbreak. If you are prone to outbreaks, you get the pills and it clears it up fast.
