Some certificate warnings can be ignored, and some not. It is not our decision.

The types that currently can't be just ignored are connections that won't be able to connect (because their handshake doesn't succeed). Or the ones that are agreed upon as the way to signal security level that's not to be ignored (read: if a website operator specifies their strict transport policy, and then fails to make the site work, it's on them to fix the issue when they actually enrolled into that mode.)

What particular error types you have in mind?

I was able to connect on my company laptop no problem. There should be an option to ignore these warnings and go to the website.

Hello

A working environment (user) in a given situation does not correspond to a working environment (other user) in a given situation, please understand that it is difficult to give an opinion.

https://support.mozilla.org/en-US/kb/mozilla-support-rules-guidelines#w_images-and-other-media You can add images, such as a "screenshot" of your computer screen.

What do the security warning codes mean https://support.mozilla.org/en-US/kb/what-does-your-connection-is-not-secure-mean Troubleshoot security error codes on secure websites https://support.mozilla.org/en-US/kb/error-codes-secure-websites

If the error occurs on one site only, test it using SSL Labs https://www.ssllabs.com/ssltest

All I am asking for is the option to continue to the website regardless of what Firefox warnings state.

If you're not given the option, make sure your anti-virus or endpoint security is not messing with the connection beyond recoverable state.

If a company device has different trust roots, you might want to ask your IT what's necessary.

If you have ideas how to solve the particular cases, post your feedback to https://connect.mozilla.org/ so it gets broader visibility and others can vote up and follow the ideas. (Maybe something similar you have in mind is already submitted there.)

This certificate security check is enforced by Firefox because the website has instructed the browser to never allow insecure connections. When a site uses this policy, Firefox strictly blocks access if the certificate is invalid or missing, and it is not possible to provide a bypass button.

The reason it works on your company laptop is likely that your company's IT department has installed a custom Certificate (or an internal proxy/VPN) on that device, which validates the connection.

To access the website from your personal computer, you will need to contact your company's IT department and ask them το provide the security certificate.

There can't be a button to bypass the security certificate.