A jet engine at idle IS producing thrust - just less thrust than you might like. It is causing LESS drag than a windmilling, shut-down engine does.
There ya go, fixed it for you.
Are we sure of that?
I think a pressure balance needs to be done in order to assess the Net forces. Keep in mind the nacelle produces most of the drag, son what goes on in the engine pressure (forward and aft) makes up the difference.