Actually, that description fits Obama better than Jarrett.
The only possible family connection to communism for Jarrett I can come up with was her late former father-in-law, Vernon Jarrett, who participated in what appears to be a communist front group with none other than Frank Marshall Davis in Chicago in the 1940s. (Valerie Jarrett divorced her husband, Dr. Robert Jarrett, after three years of marriage, and apparently never remarried.)
Jarrett's parents were the "aristocracy" of the Chicago black community and she was brought up in a well-to-do family and attended Stanford undergrad and Michigan Law School. She wasn't a Red Diaper Baby, unlike Obama. Nor did she do any known community organizing with socialist or communist groups.
Her politics would seem to be Chicago Democratic machine (she worked for mayors Washington and Daley Jr.), and she probably first came into contact with Obama through Michelle, whom she reputedly hired at the law firm where Jarrett practiced.
Jarrett is barely mentioned in two books I've seen covering Obama's socialist/communist background.
Did Valerie hire Michelle and later Barack? These people could have all known each other before they "officially" met.
I think Bill Ayers' father was a client of the law firm and knew the Jarrets thru the Chicago political machine.
IMO, they are all corrupt whether or not they all knew each other early.