Well, the amount of Zoners who were willing RP with the Core was huge: http://discoverygc.com/forums/showthread.php?tid=139383
As for your example, I see nothing that would go out of the line in relationships between the hostile factions in the edge worlds. Core is threating faction that are hostile inRP as hostile. Core is having big roleplays with pretty much all corporations (aside of maybe IMG, ALG and GMG), intel and military factions that are present in game. In other words I'd suggest to log a faction that can even talk to the Core in accordiance with the common sense.
Once again I'm talking here as former HC member and rather expressing my personal opinion. I don't know if Lyth will send someone to talk to you from the present HC. There's no much sense to do so really, since your point is no making a lot of practical sense. I know it's #fun to post in Core| feedback in particular, but it should've been constructive just for a tiny bit.