If you connect to the network when the stack is in use, via a laptop online, then there is the potential issue of leakage currents being introduced by the network connection(s) under normal or single fault conditions (earth-loops?), irrespective of whether mains separation being used to supply the laptop PSU and the composite data is being acquired from a medical grade video processor.

How things are interconnected as a medical sytem is the issue - not just whether, as individual devices, they meet their respective standards.

Table BBB.201 in 60601-1-1 (Safety Requirements For Medical Systems) and reference to the rationales in the 3rd edition 60601-1 standard is useful when considering the combinations of medical electrical equipment and how they're connected RE: solutions to providing additional protection to medical systems.

Just because each individual interconnected devices meet their respective standards doesn't mean that the system necessarily meets safety requirements.