It's definitely there, though how obvious it is seems to depend on the texture. Your example (noise) is probably the worst case scenario. It's not as glaring with a simple "skin color" texture without a lot of detail, which seems to be pretty much what is available. I hadn't noticed it before, but then I hadn't done a closeup of the neck. I exported the neck twice. One I left as is, the other I put a cylindrical mapping on in UVMapper and saved. The remapped version seems not to have the untextured area.
"Democracy is a pathetic
belief in the collective wisdom of individual ignorance." - H. L.
Mencken