The trouble is, Harry only wants the former, the one with the money and the status and the purpose. If he was remotely interested in genuine reconciliation he’d be a lot more contrite and less inclined to blow up at his father and make demands.
Harry can’t help but use the opportunity to harangue and bully his father and I’m sure Charles is wise to this. Reconciliation with Harry also means allowing Meghan back in and C has made it clear he doesn’t care for her. A and L don’t feature at all, despite Harry’s attempt to use them as bargaining chips. Charles is not going to be interested in building a relationship with two unknown and distant grandchildren at this time in his life and with other pressing demands, including maintaining his own health and well being.
Sadly I can’t see any benefit to anyone but Harry of a reconciliation between them, and I don’t believe it will ever happen.