I think it's great Anya has a new tutor, a big factor of her poor tutoring before is how distracting Loid's internal thoughts are. (and Yuri) Can't be easy trying to learn when dad is thinking how failure will bring the end to the mission, Anya's worst nightmare.
Grandpa is a professor who honestly loves to teach and is starting on her level and working up with positive encouragement every step of the way.
And I am rooting for Anya to earnestly become an imperial scholar because she started so behind her classmates. With a questionable education background from the labs. (Anya's language being good makes sense for they would want Anya to know many languages to steal information, but history, math, science I doubt they bothered with.) Her gap year in the orphanage after she ran away. Also, she is likely a year younger than her class putting her mental development behind. As is, her keeping up in a prestige school like Eden is very impressive!