In the short term, they might. Eventually, they'll end up organizing into a social strata with leadership and followership, ultimately ending the disorganized state or they'll cease to exist which makes the entire matter moot. However, they'll never perpetually remain unorganized.
They will as necessary. With disorganization comes disruption of resources. Some will need them more than others, and some will choose to do without or go on their own. Whatever organization is eventually created may elect to leave those people to their own devices. Independent local governments acting for local interest, with no room for excess because of the situation. It's how much of Frontier America in the 1800s operated.