What would once be a certain no, I now question whether google is actively weaponizing reCAPTCHA in the new browser wars. After all, Chrome has such a large market share in the right places that I'd be surprised if the model didn't take into account user agent to determine non-automated users.
The worst pattern I'm seeing now is when login forms decide to add it after just one incorrect password attempt. I completely understand registration forms -- but login forms?