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The editor's tabs have a close checkbox and there is no visible way to close all tabs at once. On the other hand, each of the output's tabs have a right button menu for closing either one or all tabs. It seems to me that the output window should adopt the checkbox style while the right buttons in the editor tab bar should get an extra button to close all tabs.
Core/winsys issue.
IMO ENHANCEMENT is more appropriate category.
Editor's tabs now have "close all" menu item, so it matches output tabs. AFAIK we don't plan to have small "x" on output tabs, because small x on editor tabs should be changed anyway and we want to emphasise that output tabs are different from editor tabs.