I have been curious about this ever since I found out my symptoms resolved during colds. There is a fever effect that has been documented in autism and some other diseases, where getting a fever temporarily improves symptoms, which you can read about e.g.
here. I assume the proposed effect of fever therapy is that it would knock down any infections that a real fever would.
The problem, as the linked article pointed out, is that just raising the temperature in mice did not have any effect on their behavior. Rather it's the infection itself triggering changes in the immune system and production of certain cytokines that apparently reduce the symptoms. This ties into what Ron Davis has observed in some of his patients. After having caught an infection, many of their symptoms and some of their blood parameters improved shortly afterwards.
So to answer the original question, I think raising temperature isn't enough to replicate things happening during a real fever and therefore wouldn't be of much use.