But it might add more immersion if the intelligence and other traits of the character were revealed. Maybe saying sharp/intelligent/genius, making it more apparent if you have an alexandros reborn or just a guy who knows good tax rates, and being able to make use of his god born gift rather than flinging him to some useless settlement. It would also make us less reluctant to accept "dull" people into the family if we actually knew how dull they were.