I guess you've got two threads going on this issue. Here's my .02, as I posted this on the other thread.
It kind of looks like that lever is riding too far down on that star wheel and isn't engaging the teeth properly on the star wheel. Check that the cable guide's flange (on the backside of the guide) is inserted all the way in the brake shoe's hole before the spring's hook is installed. If it isn't, that would effectively make the cable longer, allowing the lever to ride low on the star wheel. The tab should ride slightly higher than the halfway or 9 o'clock position on the wheel, otherwise it just rides on and slides over the teeth.
It may not matter, but usually the tab on the adjusting lever is bent back slightly so the edge better engages those teeth. That tab in your photo looks to be pretty flat.
You said the cables measured the same, so I suspect it's more likely the out of position cable guide. Otherwise try using the old lever to see if that resolves the issue. Good luck!