As far as I know almost all browser security warnings are overridable. The only one that comes to mind that does not have a click-through option is when a HSTS-enabled site fails a validation check.
It's not "basically no different" from an HTTP connection, it's strictly better than an HTTP connection, but not as good as a cert made with a more modern hash. (For that matter the same argument applies to self-signed certificates: you're still keeping a third party from snooping on the phishing attempt the MITM is giving you, which is itself a Good Thing.)
* DH short exchange keys
* NTLM1 passwordsWeb browsers cannot reliably distinguish between a configuration mistake and an attack.
For this reason, I think hard HPKP fails are a good thing. For those who opt-in to HPKP, this is a risk one takes in exchange for greater control over certificate validation.