I actually don't mind the confusing timeline 'for now' but imagine doing this with 20 people. It will just get out of control.
Also, I like the creativity aspect of the game but as Indirik mentioned, it is a both blessing and a curse. I feel you need to refine the definition consecutive chapters more.
Imagine a situation where chapter 3 is not really related to two previous chapters but people agree to pass it. That would just make that legend very incoherent.