Can you switch focus to network graph regardless where your mouse pointer is currently located? It would be great if you could for example do something in the viewport, quickly ctrl+tab into network graph (on another pane not tab), do something and switch back to the viewport.
Almost everything should be possible from the scene viewer, tool-wise. What do you need to switch back to the network graph for that wouldn't require the mouse?
For example, adjusting parameters on the nodes. I found both the scene and graph panes to be useful on certain occasions. Potentially a solution would be to create a network tab on the same pane as the scene view and CTRL+TAB into it. But then you can't see how changes affect the scene.