Can JonDoFox restore aborted browser sessions?

Yes. However, data about your visited websites wil then be stored on your local drive. This setting is therefore not recommended.

For all people, who would like to do this nevertheless: Enter about:config in the browser line, get the entry browser.startup.page and set it to the value 3. Then go to browser.sessionstore.enabled and set it true. Moreover, set browser.sessionstore.resume_session_once to false and set privacy.item.history to false.