Mac works great when I use keyboard shortcuts and Spotlight Search in a single-display environment to switch between windows and workspaces.
However, this is not the case in a multi-display setup, because the Control← and Control→ shortcuts that switch to left and right workspace operate based on which display my mouse pointer currently is. If I started on display 1, and then through keyboard shortcuts, moved focus to display 2, if I want to switch workspaces on display 2, I can't just hit Control← or Control→, because doing so will actually switch the workspaces on display 1, where my mouse pointer still is. I have to actually move my hand to the mouse, move the mouse pointer to display 2, and then use the keyboard shortcuts to switch the workspaces.
Is there a way to either make all shortcuts operate based on where the focus is, instead of where the mouse pointer is, or else have macOS automatically move the mouse pointer to the display with the focused window when focus changes? There's no point in keyboard shortcuts that force me to use the mouse, anyway.