Funnily enough with nursing we are currently seeing the reverse effect now. Nursing generally isn’t well paid here and due to public insurance/collective agreements we don’t see that much variance in nursing wages - while rent does vary considerably between various locations.
This led to hospitals in the big cities (Munich and Hamburg especially) being disadvantaged in the current nursing crisis and patient sometimes have to be transported to smaller hospitals far away from their home. We saw cases last fall where critically ill children have been transported to Garmisch-Partenkirchen, Ingolstadt, Nürnberg or even Austria from Munich due to the lack of PICU nurses there. The opposite was the case for the last decades.