"In hospitals, where a screaming [Person] that threatens the nurses constantly, yelling and getting in the way of staff, gets the attention on his friend with a mild fever while an innocent dies of blood loss in the same room." would be better stated.
There does not exist a "them" also no "they".
"distinction between them and everyone else is" -> there is no distinction. Rules are for all no matter who someone thinks they "belong to".
I also know nurses and i know a lot of people do stupid thing similar and it doesn't matter who they are but what rules are there and who are breaking them. It's never a whole group of people that do not even know each other.
To talk about individual, no matter how many they are, and stating all of them would do x or behave like y is racism imho.
Talking about the groups does not help the goal but talking about rules, which matter, which need to change etc. and talking about actions and how they can be prevented without misjudging on a general group that can discriminate would be much better. Should we prevent a whole family going into care if one needs help or should we only ban someone who is arbitrary example over 1,73m or has only 100 freckles?