I vote for Software Health...sounds best.
Sounds best? Maybe. In English. Let's translate it into Russian:
Здоровье программного обеспечения. First, it's much longer in all Slavic languages than in English. Second, the word "health" in the same languages has no relation to the version numbers of installed programs: Russian-speaking users will not look here for software updates but for the presence of viruses in the already installed programs.
As for me, I'd suggest to name this feature as
Security Information (
Информация безопасности). This name will be much closer to the reality - the state of software
security in the form of
information about availability of the latest versions.