Front Brake Drum

[CarolinaCars]

My Model A car club had a spring tuneup day Saturday. On my left front the adjuster is almost all the way in. There is probably less than a thousand miles since I redid the complete brake system on the car. I did not change any of the brake drums as they all measured well within tolerances. I was careful in measuring. That was about the only thing I did not change except I put new linings on the original shoes. This is the only wheel I have this problem. I asked one of the 'experts' who just from looking at the adjuster said the drum must be too thin. He did not look at anything further other than seeing that with the brake pedal pressed that one wheel does lock.

Does this mean automatically the drum is too thin and needs to be replaced? I never used a centering tool and never tried bending the roller tracks which had been suggested previously by someone else but some people say should never be done.
Appreciate any suggestions. Thanks!