while that may be true in some cases especially more modern mad scientists the traditional gothic mad scientist arguably is drawn to science because of his angst and conflict with or alienation from matters of the heart rather than a true distaste or lack of need for them!
I think that just further supports what I'm saying. Regardless of whether it's the result of genuine apathy towards society, or a rejection of the system that doesn't want them, the end is the same: relentless pursuit of discovery with no regard for ethics. The latter may express angst about it, but ultimately they quash those feelings, i.e. their heart does not speak loud enough.
I'd accept "The Scientist" as a song for a mad scientist seeking redemption, but for the purest form of the mad scientist (my favorite form), I think it's antithetical to the character. These depictions of the mad scientist in Romantic era literature were a rebuttal to Enlightenment era ideals, specifically the lionization of The Academic; Romantics argued that pursuit of knowledge without the heart to guide you will lead to destruction.