He might not be washed up, but if he signs with the Dodgers we'll know his decision making sucks.
I don't think the Dodgers are that interested in him. At least not on the 10-12 year contract that he's looking for. They'd likely take him on a 4-5 year deal, but I'd be shocked if they signed him for longer than that.
Besides, they need starting pitching and a catcher more than they need Harper. I'd rather see them complete the trades for Corey Kluber and J.T. Realmuto than sign Harper.