Consider all tens of thousands of CVE bugs found in widely used image, video, XML, etc. libraries. Even “updated” software is often compromised via outdated libraries.
With a “min version” approach, none of those will get patched without explicit action by a developer, who won’t do that because he doesn’t even know about the bug unless he reads the thousands of messages each day on bugtrak.
If anything, history has shown that we should be focusing package management on getting security fixes to the the end user as soon as possible.
This proposal is bad for security.