no - on the drums themselves,. There's the area where the shoes rub on, then there's a small area where the edge of the drum surface doesn't contact the shoes, and it doesn't wear down, leaving a lip or ridge.

http://datsun1200.com/uploads/photos/24173.jpg




Here's a rough diagram to help show it. I basically grabbed the first image I found on google and edited to suit. By pure chance the link happened to be to nissan brake drums (though I think perhaps not for a 1200!, but don't know for sure)

http://bonamotor.en.gasgoo.com/auto-products/1013954.html

I'll add another closeup of the original photo (a small section of it) because it shows on the 'new' drums there's actually a slight taper right on that edge to help the drum slip on easier. you could copy this, but i'd re-iterate that going too far will leave that edge thinner than ideal, esp if a roadworthy tester thinks it is how thin the rest of the drum is. So rather than copy that taper right at the edge of that new drum, put a slight taper or radius, a little less severe as that one.

http://datsun1200.com/uploads/photos/24174.jpg