Save images from the shader editor

We can currently only save images from the Image and UV editors. It would be more efficient for users only working in the Shader Editor to have an option to save on the image texture node. A common mistake beginners make is not saving their textures. It would be nice to have a save option at the bottom of this node or on the node section in the side panel(n key toggle panel).

It would be nice if the Alt S hotkey in the image editor for saving images crossed over, but I am aware this conflicts with the Node Wrangler hotkey to swap nodes.

Another tiny relates feature I want to mention: Adding an " " telling people an image is not yet saved would also help prevent people from forgetting to save and would be consistent with its implementation for the blend file. This would also make it so the " " is available in both the node editor and the Shader Editor.

When I say "tiny feature" I mean that it's a subtle change and I'm curious how difficult that would be to implement.