Yes, that's true, but only if you overstepped and started/completed a mission that went beyond what Rhapsodies required of you. FFXIclopedia (and probably BG too) has a great description for Rhapsodies missions that basically tells you how to get through everything as quickly as possible. As Nyarlko said, getting to Reisenjima doesn't take long at all and can be done in a day, more or less, depending on your play time and how many real world distractions like crazy pets or kids you may have.