The "purpose" here is to instill a sense of paranoia around error handling, so that the resulting program from the PoV of the user appears to handle whatever bizarre combination of inputs the user put in.
It's the difference between telling the user "Failed to open foo.txt (file not found). Do you want to create it?" and ending the program with a 100-line stack trace with "FileNotFoundException" buried somewhere in there.
As the article says, checked exceptions are not the solution here.
I've literally never seen, in a professional working environment, exception languages (Java, C#, Python, etc) actually check that the file they tried opening was actually opened, and if it wasn't, directing the user with a sensible message that allowed the user/operator to fix the problem.
In C, the very first time that you fail to check that `fopen` returned non-NULL, the program crashes. Then you check if it returned NULL, and need to put something in the handling code, so you look at what `errno` has, or convert `errno` to a string.
I will bet good money that you could grab the nearest C#/Java/Python/JS/etc engineer to you, ask them to find the most recent code they wrote that opened and read/wrote a file, and you'll find that there is literally no code to direct the user if the file-open failed. The default runtime handler steps in and vomits a stack trace onto the screen.
In C, you are forced to perform the NULL-check, or crash. Sure, many devs are simply going to have a no-op code-path for the error cases, doing `if ((inf = fopen(...)) != NULL) { DoSomethingWith(inf);}`, but proceeding on success is a code-smell and easy to visually spot as an error.
The exception languages make it virtually impossible to spot the code-smell of handled (or improperly handled) exceptions, and make it easy because the dev can just read the stack trace, create the file needed, and proceed with programming the rest of the app.
What a good program must do when a file open failure is encountered is direct the user in some way that they can fix the problem. For example "file doesn't exist. Create it [button], Choose a file [button]", or "Permission denied. Try running as a different user.", or "File is locked. Are you already running $PROGRAM?", or "$FOO is a directory. Specify a file.".
[EDIT: Yes, seeing a stack trace in a shipped product is one of my personal bugbears that I feel very strongly about. If it's a stack trace for an expected error (like failure to open/read/write a file) I absolutelydo get annoyed by this public display of laziness. And yes, this is one of those hills I'll die on before I leave it!]
Even the simplest c/line programs annoy me no end when the application simply dumps a stack trace to the screen. Sure, I can dig into it, but the average user is going to ask for help on stackoverflow, just to figure out what must be done to fix the error.