I think this is incorrect, at least based on my reading of the FAQ. Page 25 under missions calender.
“With the changes taking place in Chicago, finding somewhere to sleep for free has become problematic. Warlords, gangs, “landlords”, and the corps ensure a price must be paid to sleep safely. In Neo-Tokyo, all space comes at a premium and even settling in sub-Tokyo has associated costs. Therefore, the minimum lifestyle a character must take in Missions is a Squatter lifestyle. The other side to this, is that a character may now spend as much time between Missions as he/she desires, so long as he/she keeps up with the payments!”
That im0lies to me that you can keep initiating until your dice run out, as long as you make lifestyle payments.