General audience needs to know: Catchy nickname. Fuckin' kitsch it up. Heartbleed, spectre, meltdown. Whatever'll get it on the evening news.

Class of vulns, multiple CVEs, technical audience: A nickname is in order, though maybe don' t go too kitschy on this one.

Single vuln/Single CVE, technical audience: CVE.

Or, ya know, do whatever feels right. I'm not the boss of you. This is just my thoughts, but I'm no professional. Your thoughts are probably just as good as mine.