High fever does help to recover from a cold, I think. I had a terrible afternoon yesterday, I had chills so I wore warm clothes as much as I can. And I found out I had 101.3°F!!
I slept with all clothes and made myself warm......Next morning, surprisingly, I recovered from the terrible cold!
Nyankichi-sensei : If you have high fever, that is because your body are fighting with cold virus so that it's better not to reduce the fever.