Hmmm . . . OK, the outer spacer is in place.
Can’t quite see it in the second pic, but it appears the left hand shoe isn’t sitting correctly with respect to the slave cylinder. It looks a little off centre to me.
Has that hand brake lever been ground down a little via contact with the drum?
Note that there are rubbing pads on the back plate where the shoes should be in contact at all times. I’ve placed a blue circle around one pad.
Check that both shoes are contacting their respective rubbing pads.
My current theory is that the left shoe is cocked up (engineering term) on the slave cylinder and not touching at least one pad.
You can use these rubbing pads as datum points, too. Their positions can be measured sufficiently with your ruler across the hub as you’ve been doing.
If the pads are at significantly different distances from the hub face plane, then you may be looking at a bent backing plate.