From my understanding of "Reducing fever, good or bad" (Dr. John Campbell, https://www.youtube.com/watch?v=gJqSdmNNwW4) the human body needs fever to fight the viral infection.
My confusion leads from thinking that there are two ways to fight it. One is white blood cells murdering the virus - the "ideal way". Two is the body panicking and over-heating to kill anything that can't handle the temperature (preferably mainly the virus). I am not sure if #2 works through virus-killing cells, in conjunction with them, or purely in an unrelated fashion killing everything that it can, kind of like chemo.