Matt has long been one of the people who does not want supernatural beings in Mystic Falls, but will has mindset have changed much given that his mother and sister tried to destroy the town?
Alaric wants to make sure that Hope's time at the school is worthwhile. She's been there since she was seven-years-old, so they probably have a similar relationship to the one between Alaric and Elena all those years ago.
Alaric: Cheater! Hope: You should really get a vampire to start doing my training. You're getting a little old for me to break your human bones. Alaric: How dare you.