I suspect that there would be enough viral debris and intact viruses that an immune system would be able to at least notice something was happening.
DRACO doesn't kill the virus, it kills the cells that are incubating the virus. So there would be 'free floating' and live viruses that your immune system would deal with.
The main reason viruses screw with us is because our immune system can't see them inside our own cells, those cells make a bunch of viruses and then release them to infect others. Our immune systems only have a small window of time to catch the viruses before they find a new cell and hide again.
AFAIK the only way the body can cure a virus once it goes totally rampant inside of your cells is to overheat to the point that it doesn't kill you but it kills the virus (Fever) since your immune system can't contain the viral load anymore and are simply outnumbered. The reason vaccines work and how you can catch, recover and then be immune to a virus is because the virus never gets to the 'rampant' stage, it's noticed and killed immediately by the immune system while your immune system outnumbers it millions to one.
So to answer your original question: This can only be an incredibly good thing if it works as advertised.
p.s. Many vaccines work by injecting DEAD viruses into you. Your immune system sees them and does its thing, pumping out antibodies as if it were a real threat - once that's done you're effectively immune until the antibodies die out but even then, afaik, there's still some lingering defence.