I tend to middle-click the window title bar, which sends that window to the background. You can also ask to have the minimize button back with GNOME Tweak Tool.
I knew about the GNOME Tweak Tool, thanks for telling about the middle mouse button (works in Cinnamon, too...). So I agree that this point is not a killer argument, it just makes me wonder why hiding it is considered an improvement.
And a quick Alt-Tab or Alt-` doesn't work for this? For images I prefer to do the comparison in my web browser: two images in adjacent tabs, fliping between them with Alt+number (or Ctrl+PgUp/PgDn, that's a bit slower).
What you suggest is rather clunky, at best a poor workaround. Especially using the browser is just another workflow indirection and does not help when the windows are actually application windows rather than views of a standard format file stored in the filesystem.
The overview is fine for this, if you can distinguish the windows visually. Which you already said you can't always, so disregard this part of my comment.
Here the overview is not too bad, but as you already realize, can be a problem when the window content is too similar. Another reason why the taskbar feels more natural is that windows which are logically related (thus opened at a similar time) are close on the taskbar, but typically scattered geometrically all over the overview pane. I think that's the primary reason why in Cinnamon, where I have both easily accessible, I very much favor the taskbar and use the overview more for "lost" windows where I don't have any mental connection any longer between position in task bar and window.
Yes, multiple displays only work great if you position the desktops side-by-side. They don't work well if you position one of them above the other.
That's a shame because here there there does not even seem a philosophical or "big vision" obstacle to just fixing it. Given the fact that it used to work great for years in old Gnome and continues to work in Cinnamon, it can't be that much of a fundamental problem to fix.
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