I'm suddenly reminded of traffic. For a long time, governments tried to fight traffic congestion by adding more lanes. Traffic is highly parallel, so this should work, right? But it doesn't. Traffic grows to fill up those additional lanes and you're stuck with the same congestion.

Here, better traffic design is necessary. And room alternative, more efficient forms of traffic (public transport, bikes).

I do think nursing (and many similar fields) do need to hire more people, but I also suspect they have to redesign how nurses work. Less overhead, more focus on the core of their work. Streamline the processes, especially the administrative side, and not expect them to fill in for many other kinds of work at the hospital. Get separate specialists for that.