Indignity, that's it! I was never able to explain to myself the visceral hate I feel when I encounter captcha. I knew it could not be explained by the little work it requires, I knew there had to be more, I just couldn't put my finger on it. Indignity, and maybe the feeling of being used.
I have to admit, When I encounter captcha, I leave that page and never come back. I stopped using Pocket where I had hundreds of articles because of that. And when I encounter captcha on an especially bad day, I spend a few minutes clicking on incorrect images in an attempt to mess up their data.