It kind of depends on the context. Are they actually going to a "Hospital"? What are the conditions there, how are people getting care? From what I've seen in the previous videos, they are primarily locations to roundup people so other people can live safer. For me, this indicates that there is a general distrust in the average person that they will properly "Self Quarantine".

Whats stopping me from telling the others that people x,y in my building are coughing? While they actually are not? (hypothetical) Once they get put into once of those centers, it will became a self-fulfilling prophecy.

For me, rounding up people is just taking all choice away. Even if they have been careful since it started and stocked up, not left the house. This kind of policy just ensures. despite of context, that you will be forced to a specific location that may be worse then the place you currently live in. You may find it fair now, but once you get a runny nose or a cough (even without having the virus). How are you going to feel when they come knocking on your door?

But then again, I don't have enough information or context on the matter.
Personally, I would advise against putting all the sick people in one place, unless each room is contained properly.