I mean, the CEO's response seems a little over the top, unless you bear in mind that this is his livelihood.
Everyone's within their rights to say whatever they want about whatever private company, whether it's accurate or not, of course. But imagine that someone made a post at your workplace that was filled with things that weren't true about what you were doing in your job performance, and then you reached out to them to say "yo what's up with this" and they refused to talk with you about it. Given the context, I think the CEO's response is perfectly sane and that response of, no I'm not interested in talking with you on any level get away from me, is totally irresponsible and unreasonable.
If anything I bet this results in a net subscriber gain for Kagi.