The symptoms we get when sick are rarely characteristic of any one sort of infection. Our bodily systems respond in a similar & rather general fashion to all sorts of things.

And we do adapt & coevolve with diseases. That's why it's dangerous to make contact with remote tribes. People of european descent all have ancestors who lived in close quarters with their livestock for many centuries. We now carry around all sorts of things that would have been dangerous to people at some time in the past.