I think this Hornets "HISTORY" that you speak of is relative. First, all of that history, those memories that come to your mind are probably tied to the Charlotte era Hornets.
Every thing you say only makes a little bit of sense, the only fans that had any reason to be upset was the actual fans in Charlotte, they lost their team because of a crap bag of an owner and didn't get to keep the name in town.
Every time i see somebody on t.v., in a magazine or walking around town, even in this town wearing a throwback Charlotte Hornets hat it just reinforce the idea that this team needs to be rebranded, that history is not the history of the team that plays in New Orleans, the players, coaches and fans of the hornets.
The fact is you say "HISTORY", well if its history, that won't ever change it took place, it's memories that will always be there and they are all tied Charlotte.
The original name, logo and colors will be back where it belongs, if you have no ties to this city and the only thing that matters is the Hornets than it shouldn't matter to you where they play, actually it should mean more that it's old historical name will now return in it's complete form, obviously it doesn't matter who plays for the hornets right, because players have changed over the years.
But I think your biggest problem with just switching teams now once the rebrand happens is that this version of the hornets now have Anthony Davis among other young talent that's heading in the right direction and the idea of supporting the players on the current Bobcat's roster makes you sick right now.