> The information is processed locally in your browser and is never transmitted or stored externally.
I'm not, so it's no big deal to me, but the parent poster seems to be.
Plenty of people who want to live long lives drive cars and take showers, even though those are two of the most dangerous activities normal people get up to.
At least as I practice it, privacy protection is risk analysis, not blind minimization.
It's much more effective to do a lightweight risk analysis and set some sort of standard for what you're ok with given different levels of benefit. For example, if you're generally ok with a privacy policy, maybe you're fine sending your image to random experimental sites that don't have any obvious motive to profit from abusing your data. (Which is actually not quite the case here -- the site in question is specifically thinking about privacy risks, and so probably ought to be given a better prior than a random site.)
Then again, I'm a total hypocrite. If I were to do my own analysis, I would not be ok with having a live mic potentially sending any audio it picks up to a company I already distrust. Especially when their privacy policy is not at all reassuring. And yet, I can see the Echo from where I'm sitting...
We're all rats in a Skinner Box. Just like me, you gave this site access to your camera and let it scan your face for minutes so you could see the result. I don't think it's fair to judge other people for not caring about privacy immediately after uploading your likeness to a random site.