It is believed to trigger cervical cancer, in women who are exposed to it, even if they never develop warts. The researchers commented on the low concentrations, and brief contact time needed to get the desired results. Furthermore, we already know SDS is generally safe for skin and mucous membrane contact. They estimate 2-5 years before a product could be on the market. Needless to say, your vulva and vagina are not lab benches.
Viruses are actually very fragile and easily killed by many things when exposed directly.
But, in real life, they don't even get exposed to things directly because they live inside your cells, which protect them. The only opportunity is to nab HPV is as they pass from one partner to another. And while the tissue lining the vagina is similar to the mouth, the types of normal bacteria that are housed there are not. The first hurdle will be making sure SDS really doesn't irritate the vulva and vagina directly. Secondly, that it does not destroy the normal balance of bacteria and organisms in the vagina.