The primary issue is who determines hatred. I think, this is largely a story consideration and therefore clearly my domain. If Hekrates has any enemies, well, sure, there's some hatred there.
Beasts without intelligence don't have hatred. Even beings or people that are unknown to each other don't have hatred. Bandits on the road don't hate Hekrates, they just want his stuff. As to whether player characters hate Hekrates, that's largely up to the individual players. I'd love to see some inter-character development where some people hate him and other people don't. People may also start to understand his weaknesses and strengths, and that's really bad for Hekrates.
House Tytalus, as a rule doesn't hate any of its members. It may think individual magi are misguided or mistaken, but hate is a bit too much. I doubt there was even hate for members of the other side in the Harpax or Bulliste Primus debate back in 1220s. The other side was simply wrong, you don't hate someone for being wrong, uneducated, stupid whatever, certainly members of House Tytalus don't hate that way. It's tougher (and more fun) to kill with kindness. Of course, members of House Tytalus excel at engendering hate in other members of the Order.
I appreciate the input, but keep in mind that this doesn't necessarily involve your player character, and you can, if you would for some reason get into combat with Hekrates say you don't hate him. Your problems immediately following any magical confict are dealing with House Bonisagus and House Tremere, and explaining yourselves to the representatives of the respective Houses here at the school.