I don't think saving your password is a good option to have.  No banking website would ever allow that, and Blockchain.info is a similar type of site.  One thing that annoys me about the password input box, however, is that it doesn't work with Lastpass (ie, Lastpass can't automatically fill it in).  Additionally, you still have to click the login button after two-factor auth with a Yubikey, which isn't necessary on many sites.