A placeholder can still be quite effective. Jonnel One-Eye, Barth Blacksword, Rodwell all never had kids, but seem to have been effective lords.
Not leading in battle is harder to deal with, but I think Bran could get around it if it was known that he was a greenseer. The North follows the Old Gods and the greenseers are/were the closest thing the Old Ways had to a priesthood, so I could see Bran becoming a priest-king figure, venerated and feared. Good luck plotting treason against him when every tree and every bird is his spy. when the land itself and all living creatures on it are his weapons.