Joined: Jan 2010
Posts: 9,835
Likes: 1,816
From: Northern California
Bikes: Cheltenham-Pedersen racer, Boulder F/S Paris-Roubaix, Varsity racer, '52 Christophe, '62 Continental, '92 Merckx, '75 Limongi, '76 Presto, '72 Gitane SC, '71 Schwinn SS, etc.
I think that the idea here is to have an eyelet that shares the spoke tension force between the inner and outer walls of the rim.
Since the eyelet is flanged to rest against the inner rim wall (the wall that the rim tape adheres to), the eyelet must be an exact height from the hub-side wall up to the eyelet flange to apply spoke tension force to both walls.
So for sure, only an eyelet specific to this rim is likely to have such an exact height. I think the OP needs to find a similar, but damaged/worn rim from which to source the exact eyelet.
As for any sort of washer kluge, this would probably be fine on the non-drive side of the rear wheel, or possibly on the front wheel.