agreeing with what adorableAnimus said, I'm doubtful any of the kids will share their aspect or class with either of their parents... with the exception of Vrissy

Although its easy to write her off as a special case scenario, her Zodiac kinda requires her to be a Light aspect, as well as it definitely suiting her character. I think this can still be very interesting, being able to compare her to her mother as well as Vriska (even Arenea to some degree) and see how she utilizes her aspect differently. Personally she definitely strikes me as a active class, I'm thinking Witch personally just with how she interacts with Harry and Tavvy implies manipulation (although moreso in a mental sense in that case).

I also think Yiffy could be a surprise Blood Aspect, not confident in that or anything, but as much as she gives a "fuck all authority vibe I do what I want" she also feels like a "us vs them" when it comes to authority, so maybe a Bard of Blood? just some food for thought.

Tavvy and Harry are personally two characters that I feel like we don't know enough about to properly classpect them, I think saying Harry is a passive class is a easy guess but other than that I don't feel too strongly on either of them, time will tell I suppose.