The way I’m currently dealing with this is that I got a local graph set up exactly the way I wanted it, and then I saved my session as a Workspace. That way, when I accidentally close a local graph (and Obsidian loses all the settings, because we don’t have this feature yet), I just go to Workspaces and reload that Workspace.
Frankly, I don’t understand why only you, zebark, and I are asking about this. The Local Graph feature allows a lot more power and flexibility than the “Global Graph” (of the entire vault), so of course one would want to use Local Graph a lot; hence we need to be able to save those settings!! It’s SO important. Before I figured out the workspace workaround, I had to redo by hand all those settings 20 to 30 times a day. Now, maybe there’s a plugin that does this…but I’ve asked on Reddit, here, and in the Discord forum, and no one seems to care, which I find really strange. The graph is one of the most basic cores of the program, and we can’t save settings? Would really like to see this feature fast tracked into a new version buildout as soon as possible.