In any case, special Buildings designed to "educate the aristocracy" that increase certain administrative attributes of Royal Family members stationed in the city, and grow up in the city, would be cool.
I think their should be a "Parental" talent, which could allow interesting bonuses and/or decisions in the Talent/Weakness ratio of your children, and potentially your children's children.
Part of what I envision is simply a greater sense of "Parenthood" in the empire, were all children have a greater chance to be born with more talents than weaknesses.
Another Part, however, makes me want a decision for each child (I want X gold per turn spend on this child's Education and Care!). Or (I want child to be raised in City A @ 10 gold per turn, or I want child to have his own bodyguard and accompany me on the field for 15 gold per turn) ... Bringing a toddler into a warfare environment could have a chance to raise both a Blood Crazed, Murder Crazed Maniac, but it could ALSO raise a Wise and Strong Great General.
Leaving your student Pampered in the Capital could lead him to be a slovenly and lazy oaf, or a Wise and Organized City Planner.
There are both interesting decisions, and having the Parenthood talent would give a better chance for the positive outcomes to be aquired.
Not to say that a Slovenly Oaf or a Blood-Crazed Murderfiend coming of age would be "entirely" bad. For instance, maybe the Slovenly oaf makes all buildings in the city he governs cost more, but in his creativity the Prestige is also increased per building.
Maybe the Blood-Crazed Murderfiend is also an incredibly skilled warrior fighting to a fierce brutality that demoralizes enemies, even if he is not the best commander. Would make a great Pycho Prize-Fighter to fight in the Front lines of your more Organized Child's Armies.
Also, maybe the lazy oaf has had more leisure time to think of various psycho-sematic possibilities, and is a wild-card at diplomacy. Either he does sub-par/below average on Trade or Diplomatic venues, or he shows his Savant prowess and becomes an incredibly excellent diplomat/merchant for a particular treaty or two. or perhaps you find he is a great diplomat only when negotiating with X country, for some as of yet undecipherable reason.
The Point being, that everyone has their uses, but the "good ones" are really, really good.