I got into the habbit of removing the rear brake adjuster from the backing plate when the shoes are off, then cleaning all the crud from the threads, dismantling it, cleaning all the parts properly, then refitting everything with either a high melting point grease, or with a suitable anti sieze on the threads.
If the square drive is damaged, then replace the adjusting screw with new or a good used one to avoid problems later.

This came about one day many years ago when I went to adjust the rear brakes to discover that one side was frozen & I rounded off the square drive of the adjustment screw.
Now my brakes are always easy to adjust.

If it's the first time that I have had the brakes off, then I usually replace the wheel cylinders with new also. They're too cheap to not do it & then I KNOW absolutely the condition of my brakes.