They could always just have a whitelist or force you to use their TLS cert so they can decrypt everything, and they'd just block anything that they can't filter. If they're using a whitelist and you need to access something, they check it out and add it to the whitelist if it seems reasonably secure.

That being said, I absolutely hate all the filtering crap, so I actively avoid working for any company that decides it needs to see everything I'm doing online.