I believe you were correct in all of your comments.
This is a really unique situation. Whereas I agree with the others that going to the hospital for simple cold like symptoms is overkill, will overrun the hospitals, increase the risk of infection to hospital staff and patients, etc, the nature of this disease is such that ignoring it can be worse.
The problem is most people will continue about their life when they are sick. It’s what we do. We are a hard working nation that won’t let “simple” sickness (like a simple cold) knock us down. We go to work, go shopping, go to class or church, go on airplanes to all over the world, even to....our favorite amusement park. Yes, some consider that irresponsible behavior in the middle of flu season.
But in the middle of a potential pandemic, it can be worse. The problem with COVID 19 is that it is so virulent, estimated to be more so than influenza. Yes more people have died from influenza. But COVID 19, with no vaccine, being as virulent as it appears to be, with a potentially higher mortality rate than influenza, is altogether a different virus with much more potential for harm.
I do not purport to have any answers (calling a phone number in Italy as one reported is an interesting idea), but ignoring your symptoms (particulary when you have a fever over 100.4) is potentially worse.