But generally, if they have a fever they have something wrong, often something painful: ears, throat, head. So it also for the pain relief.
Even a fever itself is horrid and causes aching etc.
Sorry, cannot understand what possible reason you would have for not giving something that will alleviate the symptoms.
And I dont believe you can be there all night long bathing and sponging a feverish child effectively?
Calpol is a wonderful medicine!