I never encountered straps with crimped/immobilized rollers and I can't see why Cinelli might have done so on your straps. Can you uncrimp them in some way to get them rolling again? it will be good to do so as the straps can get damaged eventually if you pull it the non moving roller, especially if it is knurled.
Can you provide a pic of the straps so we can see exactly how it might have been crimped??