The attitude "it's just computers, nothing truly important like medicine" might have been viable 40 years ago, but it certainly isn't anymore.
The earth is still spinning, despite so many things not working everywhere. That's not just in software. In every system, there's relatively few single points of failure. As you zoom out, failure points disappear and new ones appear.
Sure, still sometimes someone notices a critical security flaw that's been in there for a while, and that had found its way into large parts of the infrastructure already. (The last one I heard of was not a memory vulnerability).
https://qz.com/646467/how-one-programmer-broke-the-internet-...
If this breakage is an argument for anything, it is against depending on lots of code that you don't even know. The last Rust projects I tried to build all had on the order of 500 transitive dependencies, by the way.