OTL, the suo jure Countess of Toulouse was married to a younger brother of St. Louis IX, spirited away to Paris at a reasonably young age, and never really had a connexion to her native county. She and Alphonse also had no children. At her death, while the county should have legally passed to her half-cousin (the daughter of her father's elder half-sister), it instead devolved into the French crown.
While I can't imagine this being oh-so-very-different had Jeanne-Alphonse had issue, Toulouse would remain - if only on paper - "indepedent" of France. How might this affect things, if at all, were there to be a Toulousian line of Capetians similar to the Artesian or Sicilian lines which sprang from two other brothers of St. Louis? Would Toulouse be destined to have "absentee landlords" in a similar way to Jeanne-Alphonse for the duration of the line? Or would Jeanne-Alphonse's son/grandson take himself back to his county?