Schrodinger's Heroes is an apocryphal television show about quantum physics and saving the Earth from hostile dimensions. LOL_Heroes is a branch of the fandom that blends the show with LOLcats humor. Some of this may make more sense if you're familiar with Melannen's characters and my characters. See also the description of the unscreened episode "A Thorn in the Foot" which introduces the concept of white!Schrodinger in the context of evil. The first batch of LOL_Heroes shows ace!Schrodinger in his customary black form.
Alex's cat Schrodinger, for whom the team and the show are named, is a neutered black male and thus effectively asexual in canon. A popular alternate version of Schrodinger is an evil white cat -- sometimes just an ordinary cat, but often a sentient cat and sometimes an entropic wizard (as crossover with Diane Duane's Young Wizards series). Evil!Schrodinger is frequently portrayed as ace, occasionally as a studmuffin.
Now, asexuality -- like all other orientations -- has no bearing on morality. Asexual characters can be of any alignment, just as sexual characters can. Part of tolerance includes showing members of a minority across a wide range of roles. So, aces can be villains too, as long as they're not stereotypical "being asexual makes you lonely and crazy" types. Evil!Schrodinger is customarily portrayed as a complex character and a formidable opponent, rather akin to Moriarty in Sherlock Holmes fandom. The LOL_Heroes panels of Evil!Schrodinger often highlight these complexities. You can see full-size images in my "Evil Schrodinger Aces" scrapbook file.