To clarify are you saying that people who are hospitalized with Covid can possibly spread it to others in the hospital?
I think if there are appropriate precautions in place, there shouldn't be transfer of bugs/viruses etc between patients or between staff and patients. There hasn't been a single coivd outbreak on my unit. But I am fortunate to work in a place that has single patient rooms (apart from double occupancy of covid patients), we don't typically share equipment between patients and if we do, it is thoroughly cleaned. We have appropriate PPE, and have overall good nurse to patient ratios in critical care.
From my understanding, hospital covid outbreaks that have occurred in the lower mainland, have typically happened on medical floors. On these units you can have up to 4 patients in a room, with a single nurse struggling to provide care for up to 8 patients!!
Unfortunately nosocomial infections happen far too often, but they aren't limited to covid. Getting infected with other nasty bugs like CDIFF or MRSA can also prove to be fatal.
I think this is more of a system failure - old buildings with poor ventilation, multiple patients in a room, sharing common areas like bathrooms, overworked and not enough staff, etc.