Without context, it is difficult to really understand what the writer intended to say. But, based on what you gave us, I think the writer is trying to say that the writer does not like the singer's voice (hence, the word overdriven), but such a voice was apt because the singer intended to sing the song in a "demented and psychotic" way. In other words, it is something like saying: "an evil song requires an evil voice"!
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