Even without the pickle-related vulnerability, exposing your secret key that is securing cookies seems pretty bad and likely to lead to other vulnerabilities, although they'd take longer to find.
And if the secret key were secure, the pickle use would not be vulnerable.
Still, multiple layers of security, yadda yadda, sure.
But this is beyond the pickle issue. I'm not sure I'm completely convinced you should not use pickle for browser cookies that are appropriately cryptographically verified. (although fwiw I believe Rails changed it's default cookie serialization to use json instead of the ruby equivalent to pickle which suffered from the same issues).