On windows 10 I have purposely enable the setting to open Snip & Sketch. When I press the button, all the screen goes darker, and then I can simply drag to select a rectangle. When I let go of the mouse, the selection is copied to the clipboard and no extra app is kept open, except for a notification that disappears in a few seconds.
I'm now ready to paste it everywhere, which is my main user case.
Do I need to paint on it? Click the notification and edit as you want, then control+c and continue.
Need to save to a file? Click the notification and press the save button.
Need to make a window screenshot or a full desktop one? After the screen goes dark you have buttons at the top to change the selection mode.
To me this makes the most sense, saving directly to a file that you later need to find and open to edit/copy is rather slow, except if you want to user it as a "visual background log" maybe...