There are some who want to know all about it, some who don't. It isn't a case of being over- or under- sensitive, of caring too much or too little. It is just different approaches. So long as people act sensibly, whatever circumstances they find themselves in, it doesn't matter. It is the same with all medical matters.
I found this sobering, but not scaremongering. Whether we want the details or not, the graph of our progress through this pandemic is going to follow a very similar curve to Italy's. The same is true of all the countries in the world.
Their aim is to manage to flatten the curve so that all the serious cases don't need intensive care at the same time, which will minimise the death rate, though it will still be high.
The whole population should be behind the efforts to do that, and to help those most likely to get it badly to stay isolated by ensuring they don't have to mix with crowds to get supplies. They should also follow all the advice that will minimise their own chance of avoiding catching and spreading it - not just for themselves but for everyone's sake.