So you are, literally, arguing for security by obscurity. "Oh, my captcha is unique, therefore nobody will bother".
There are easier to implement unique captchas, than chess.
There are easier to implement unique captchas, than chess.
Another way to look at it is like the entire collection of CAPTCHAs on the Internet is really just one big CAPTCHA library, which tests a subset of "human" abilities. The larger the subset, the more difficult it will be to circumvent. Relying on one or two special abilities makes it easier for a machine to emulate those behaviors and gain access. I hope that clarifies the point I was making.
Custom captchas are probably a great use of this.