When I had the Covid I must have had a high fever as well. Cranked the indoor temperature to 75 and was wearing my winter coat inside. I was still cold.
My oldest son hates me when he gets fevers... I make him dress lightly and only give him a sheet.
He used to spike really high fevers and would have to go to the ER... we did anything we could to keep him cool. My middle doesn't seem to do this on the rare occasion he gets a fever, so we're not as cautious. The youngest is a toss up. He's only had a fever once. It did spike high and require a doctor visit(so he got the cool treatment), but he's never been sick again.