That's not the point. The mass media knows nothing about security.
Here is what is happening when vulnerabilities get their own brand names, with logos and marketing:
1. Vulnerabilities are implicitly severe if they attract media attention (and only if they attract media attention). I've been featured in the press twice for vulnerabilities. Neither of them were as serious as the least serious, unpublicized vulnerability on this page: https://hackerone.com/internet.
2. It implicitly encourages rating a vulnerability's severity by how much media attention it receives, not by an objective scale.
It's causing a race to the bottom where coordinated disclosure now requires a PR firm, a presskit, a logo, and a brand name. For Heartbleed and Shellshock, sure, they're serious enough for all those hoops. For everything else, the race to the bottom will commoditize these things, making vulnerabilities without them ignored, and confusing vulnerabilities with them as severe.
The final result is that it's just extra, meaningless noise tacked on to vulnerability disclosure that makes it more difficult to achieve, involves more parties and doesn't improve anything.
Plus, 99% of the time, end users are not directly responsible for patching these issues. So why the focus on mass-media friendly marketing?