There's a line of thought that metabolism is the defining feature of biological life, and viruses do not have any metabolic activity of their own. This is essentially the only real distinguishing characteristic that holds true between viruses and organisms.
Once a virus has a host cell, however, it uses metabolic events to do its thing. That use of those events to drive its own reproduction is very life-like, and is very unlike a prion. In terms of behavior, it really is more like life than not. It uses metabolism, even if it doesn't innately perform glycolysis like everything else.
The "are viruses alive" is really more a medical philosophy question than a practical one.