Remember that Batman and Robin issue by Tomasi in the New 52 where Damian was going around and challenging the Robins and trying to take a trophy from them to show how he was "the" Robin? Then at the end of the arc he got to Dick and Dick just tossed him one of his weapons because he didn't care at all about it? Then the two drove off in the Batman mobile together. That is how Dick should feel about the Robin legacy. He doesn't care. It isn't important to him or how the other Robins fit into the Batman family. He created Robin and moved on from it. So King trying to have Dick act like he is concerned about how he fits in compared to the other Robins I think really misunderstand the character.
Sure, you could say Jason, Tim and Damian have some hangups about it but that doesn't make them these very basic tropes. Dick's hangups would be more with Bruce and Batman if you want to try and give him some.