I know exacly how those two bare spots got on it. When you take the top off that particular fan center and put it back on, you can easily get the ground pigtail trapped underneath. The bare spots would be in those exact places. That blackness does look like paint to me, and not burn. The bare spots look like chafing from being pinched in the past.
Yes, that is precisely where the ground pigtail is factory intended to be terminated. That screw on the little insulating board goes through a big copper grommet. The screw and the ring terminal are not insulated by any means from the chassis.