I think you are missing WHY banning open carry but allowing CC is permissible. Both Moore and Wren are in the split isn't real section. This section is about simply looking at differences between the cases to demonstrate that they are different and there really isn't a split.
The reasons why NYS thinks NY's laws are correct is listed in reason III (why the decision is correct) Reason III.A demonstrates that they believe history and tradition show that the decision is correct, which is the same type of reasoning found in the Young en banc majority opinion.
I have not done a detailed comparison between the Young majority opinion and the reasons listed in reason III.A of the BIO, but they do seem similar based on my recollection and do not appear to be any appreciable change in their theory.
Well, I'm not missing it (FWIW), but NY isn't pondering this very much either. On this section you point out NY brings up the antebellum cases regarding open carry being preferred over concealed carry but then proceeds to essentially trash them and attribute them to white slave owners keeping order over their slaves. Now it's been a while since I read those opinions but I don't recall slavery being mentioned in any of them.
I guess we'll see what NY does with further briefing but I do not expect them to come out and say that the right doesn't extend outside the home so we are free to regulate it any way we please. They will instead try to convince the court that their laws are "longstanding" and not a complete ban so it'll pass a watered down intermediate scrutiny.