They don't always have to leak. I've had a few that were stuck due to some rust within the cylinder. I just replaced them since they were cheap back in the days of yore. Though, I did take one apart and freed it up with some cleaning. It appeared to work fine after that.
I can't speak for normality but I just find it odd that it would wear like that when there isn't a bad part. Usually, I would see one show worn more so than the other, but never a tapered wear.
Most adjusters work with the emergency/parking brake. Though, many people rarely, if ever, use the parking brake and those adjusters can rust up and stop pushing the shoe against the drum.
I have worked on many drum brakes and I have never had to remove a parking brake cable. The cable is attached to the metal assembly and that will just hang on the cable when you remove it and replace the shoes. Though, if it's easy to remove and reattach, then there's no harm in doing so.
Agreed. There should be a slight drag and minor friction when you turn the drum, but never should be too tight where it's difficult to remove the drum.
Yes, attached to the metal assembly which turns that adjuster.
All I can say is I've never "rotated" brake shoes, since IMO, they were cheap when I used to work on many cars. I can sympathize when only one shoe is worn while the other(s) have ample thickness. I hate to see such waste. The choice is yours since it appears the shoes are the same on each side, you could simply swap them and ensure that drag and minor friction partake when you reinstall the drum. Honestly, if it were me in my youth as a poor teen working on my own car, that's what I would do. But now that I'm a wealthy millionaire (that's tough to say without laughing) Ok, now that I'm financially stable, I would just buy them and install. Since you have to remove all the hardware anyway, installing new shoes would be the best option.