Sentey LS-4231 On-Ear headphones with Carrying Case for $10 [updated]

This is a chicken and the egg type of a deal. Do you buy it for the case or for the headphones? The Sentey LS-4231 closed-back on-ear headphones come with a hard zippered carrying case in their box, and they go for $10 in red headphone color schemes. The case is the same color (black). Considering the prices of zippered headphone cases, it may be worth more than the headphones 🙂 Close-up pictures of the case among the customer reviews. Together they average 4.3 out of 5 based on 1882 customer reviews, and have 120+ questions answered. This is at Amazon by Amazon actual.

UPDATE 9/9/16: the black jumped to $13, but the red remains at $10. Link above changed to point to the red color scheme.