Unfortunately, user behavior testing shows those certificate warnings are a threat vector. There's a reason the browsers have been moving towards the exits on trusting the user to understand the security model enough to override the trust breakage.

Chrome pops a warning, but (with a few exceptions) doesn't let you just navigate through it (there's a secret key sequence you can type to override it, but it's both purposefully undocumented and periodically rotated to make it something that you can only know if you have the chops to read the source code or consult the relevant developers' forums).