"Open source software is especially vulnerable to this kind of stuff."I'm not sure I follow on this front. Proprietary software could be compromised (whether intentionally by the vendor or unintentionally by some outsider working on the software) effectively forever with no one noticing. At least with OSS, the number of eyes on the source makes it less likely that an exploit will exist for long (though the definition of "long" could vary wildly dependent on popularity and the skill level of the software's normal users).
"Given that many big governments are now involved in the information wars, this scenario is quite likely."
Again, this one seems to point more to proprietary software then OSS. A government only needs to compromise a single company to make an exploit happen in commercial software. OSS exploits can be caught by the Linux distribution vendors that package the software, the users, the developers themselves (who are often working at different companies and in different nations), etc.
So, it may seem easier to compromise an OSS project, by attacking the distribution server and uploading a compromised binary built from source with patches...but, there are many good ways to guard against that (though any single mitigation, like signing with developer keys, can be compromised, the more eyes the less likely it is to succeed for long). But, if a government compromises a company, or someone within that company, all bets are off, and the problem literally may never be found.