There is a new config in Firefox under privacy.firstpartyisolation that is similar. But I can't use it or the various referer about:configs with my work mac because they break JIRA.
First party isolation was made for Tor and privacy and keeps all cookies in containers in some fashion.
There's First Party Isolation add-on[0] that allows you to enable it by default, and then disable it for a period of five minutes by clicking on an icon.
That way, you could click on it when you're using JIRA and have first party isolation when you're not using JIRA.
It's a promising idea but has issues currently. In recent Nightly builds I found it completely broke websites that override control keys [1], which is loads (GitHub, Facebook, Google Docs, etc.). It'll be great when they iron out all the bugs, because this guards against all sorts of the more advanced, sinister ways of deanonymising people.
First party isolation was made for Tor and privacy and keeps all cookies in containers in some fashion.