This is overblown fear mongering, especially for desktop apps.
There are only a few applications with exposed attack surface (i.e. accept incoming requests from the network) and a large enough install base to cause "massive damage all of the Internet". A desktop screen recorder app has no business being constructed in a manner that's "wormable", nor an install base that would result in significant replication.
The software that we need the "average user" to update is stuff like operating systems. OS "manufacturers" have that mostly covered for desktop OS's now.
Microsoft, even though their Customers were hit with the "SQL Slammer" worm, doesn't force automatic updates for the SQL Server. Likewise, they restrict forcing updates only to mainstream desktop OS SKUs. Their server, embedded, and "Enterprise" OS SKUs can be configured to never update.