Well I just took a DVOM to a couple of boards and lo and behold, I have continuity between all the solder rings. I did not think that was the case, so I stand corrected .... sort of. Whether they actually provide a ground or not, I do not know.
Because, after having run numerous systems out of the case, I know that it is not necessary to ground through those rings for the system to run.
Now about the washers. So, if board designers are making the holes bigger and thus the washers are not now required, I guess we don't have to worry about the screws what, grounding the board?
And if in the old days, when the holes were smaller, we needed the washers to what, keep the screws from grounding the board?
This washer subject has been discussed numerous times here. I have messed with the washers a few times. One thing I have noticed is that the screws will actually "thread" through the washers. So the washer is actually trapped on the screw. If you put the screw through the motherboard and then holding the washer to the back side of the board, "thread" the screw through the washer, the screw is magically trapped there. You can turn the board every which way and the screw will not fall out.
Makes me think this could be handy installing or swapping boards in a case with tight quarters or with drives and cables in place. No trying to line up screws with the holes in the board dodging cables and wires or in the upper left corner close to the PS.
This is all my theory mind you. I could be wrong.
Having said all this, I never use the washers.