Hi,
As Nicolas said, the screenshot you gave is not an HikaShop page: it is the joomla user registration page.
The HikaShop ReCaptcha plugin only works on HikaShop pages so, if it is not an HikaShop page, it is not our ReCaptchat Plugin or it is not used as it should be.
Regards,
Jerome - Obsidev.com
HikaMarket & HikaSerial developer / HikaShop core dev team.
Also helping the HikaShop support team when having some time or couldn't sleep.
By the way, do not send me private message, use the "contact us" form instead.