Please make CAPTCHA work without allowing JavaScript to Google

I hate having Google (or anyone else) trawling through my computer, and obviously JavaScript is consistently prohibited in my browser. Recaptcha should work even without JavaScript - and even here, I solve the puzzle, get a key to copy-paste, I copy-paste it - and then I get invalid-request-cookie Error; see this:

I tried at least 3-4 succesful solutions per post, until finally I enable JavaScript, in order for the posting to pass.

Can this please be fixed?