Please take a look at my comment further down below for the full spoiler from Animedia if you're interested. I'm pretty sure Schneizel is not an "EVIL" man...or let's say no man is "evil". Each person just fights for his or her own purpose and conflicts only occur because of conflicting motives.
From Lelouche's POV, his mom was killed and his father did nothing to stop it so he thought his family was bad. Then, when he learned from Crovius Schneizel & Cornelia were involved in his mother's death, he was even more angry and he killed Crovius. HOWEVER, if we look at the hints dropped here and there, it seems Crovius, Cornelia and Euphemia all DON'T hate Lelouche. On the contrary, Crovius left Britannia to come to Area 11 to be governor (also from a previous interview with Kawaguchi) because Area 11 was the place where Lelouche and Nanali died. In memory of them, he even painted the siblings and displayed the picture in the gallery along with other paintings of his family. Cornelia also said Area 11's a sad place because 3 of her siblings died... so I don't think Schneizel or Cornelia is the kind who would kill members of their own family (ironically Lelouche DID).
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From Lelouche's POV, his mom was killed and his father did nothing to stop it so he thought his family was bad. Then, when he learned from Crovius Schneizel & Cornelia were involved in his mother's death, he was even more angry and he killed Crovius. HOWEVER, if we look at the hints dropped here and there, it seems Crovius, Cornelia and Euphemia all DON'T hate Lelouche. On the contrary, Crovius left Britannia to come to Area 11 to be governor (also from a previous interview with Kawaguchi) because Area 11 was the place where Lelouche and Nanali died. In memory of them, he even painted the siblings and displayed the picture in the gallery along with other paintings of his family. Cornelia also said Area 11's a sad place because 3 of her siblings died... so I don't think Schneizel or Cornelia is the kind who would kill members of their own family (ironically Lelouche DID).