Add 'Display As' in Quick Favorites

With the way things currenlty work, that would require to first create an operator for that 🤔

But that's a very specific use case...

In the meantime, you can make your own operator using this code:

import bpy


def main(context):
    for ob in context.scene.objects:
        print(ob)


class Ojbect_OT_setDisplayWire(bpy.types.Operator):
    """Tooltip"""
    bl_idname = "object.set_display_wire"
    bl_label = "Set Viewport Display: Wire"
    bl_options = {'REGISTER', 'UNDO'}

    @classmethod
    def poll(cls, context):
        return context.active_object is not None

    def execute(self, context):
        main(context)
        bpy.context.object.display_type = 'WIRE'
        return {'FINISHED'}


def menu_func(self, context):
    self.layout.operator(SimpleOperator.bl_idname, text=SimpleOperator.bl_label)


# Register and add to the "object" menu (required to also use F3 search "Simple Object Operator" for quick access).
def register():
    bpy.utils.register_class(Ojbect_OT_setDisplayWire)
    bpy.types.VIEW3D_MT_object.append(menu_func)


def unregister():
    bpy.utils.unregister_class(Ojbect_OT_setDisplayWire)
    bpy.types.VIEW3D_MT_object.remove(menu_func)


if __name__ == "__main__":
    register()

Put it in the text editor and hit the run button. Then when you F3 search for the "Set Viewport Display: Wire" operator, you can add it to your favorites from there.

If you need this all the time, you could save the python file in your startup blend file.