As Dew has mentioned, it's probably going to take 3 HCV DAAs to do the trick (PI+NS5A+nuke most likely).
Name any other chronic viral infection permanently cured (virus cleared) at high rates without chronic treatment and without specifically engaging the immune system.
PS To restate my position (to ensure my counterpoint isn't taken out of context). It isn't that I am saying that it is impossible that 3 DAAs will provide a high rate of cure - only that it seems odd to me to suppose that it is anywhere near a sure thing.