I wonder if these ads mentioned the purpose of the study, or if that information was only given out after initial contact (I don't know enough about IRB requirements here).
A concern is that this could cause a selection bias for people who suspected they had the virus. People may respond to such an ad out of curiosity ("I think I had the virus, so it would be good to know for sure") or obligation ("I'm pretty sure I had the virus, so I should help out with this study").
It wouldn't have to be a large selection bias, either. Of the 3,330 people they tested, they found only 50 who tested positive.
I would like to see a bit of a better method of sample selection before drawing any conclusions.