The correct installation of a receptacle in a grounded metal box is to break off all four ears leaving only the end tabs. If shimming is necessary to space the receptacle out, then the broken off ears are placed around the screws between the tabs and the box. This establishes an adequate and approved conducting path. Just the screws and threads would test OK but are not considered adequate for high currents.
EDIT
Note Note that any paper screw keeper must be removed on at least on one end. This allows one end tab to make face-to-face contact with the metal box.
Good quality receptacles have a paper screw keeper on only one end and it does not have to be removed. The tab on the other end has a metal wire keeper which allows the tab to make face-to-face contact with a metal box as the screw is tightened. If the box is too far back, then use the broken off ears as conducting shim washers.
EDIT2 Looks like the box is set back as much as the thickness of the drywall. If so the two ears will not shim it out far enough. You will have to get some more washers for shims. Alternatively you could use all fours ears on one end and plastic shims on the other end.
Alternatively, since you have a lot of space around the box you could leave the ears on and use a stack of metal washers. You could also use pieces of metal bar stock or square tube stock and drill a hole for the screw.