I'm no expert, but pretty sure there are two thicknesses of said cover washer and you need the one with the pin fitted for an 041- if the pin is missing it is the shank end of a 2.5mm drill bit either 10 or 11 mm long.
You were right about the two cover washers being different sizes. The replacement is on the left and original on the right.
I tried both but they don't seem to affect the location of the sprocket or clutch drum. The raised lip on the original slips inside the sprocket, thereby just moving the bearing further out.
Here's with the original installed. The bearing sticks out past the lip on the shaft.
With the replacement, the lip on the shaft protrudes from the bearing.
I think my best path forward is to use the replacement then fit a spacer in there to extend the lip on the shaft out beyond the clutch drum. I went by the hydraulic shop in town and they hooked me up with a short length of scrap 1/2 x .049 steel tube.
It fits over the threads and seats nicely on the lip and the sprocket/clutch drum slips over nicely. Now it's just a matter of figuring out the proper length. Fist attempt was too short, once I blipped the throttle a few times the clutch tightened up and started dragging on the back of the drum again.