The OP had a list of those old town teams, the only reason the Packers weren't shut down/moved with the rest of them was Don Hudson. If the Packers had been mediocre to bad in the mid 20's to very early 30's, they'd have been gone.
And in the meantime, Lambeau tried to move the team to LA and failed. Perhaps the NFL wanted the Packers gone again, but they became the dynasty of the 60's and have had nationwide, if not worldwide, support since.
And these days, there's revenue sharing, so long as the Packers/Brown County support the spectacle necessary to hang, the Packers will be around. The latest hurdle was the plebiscite on refurbishing Lambeau Field, which passed, due to Bob Harlan's tireless efforts. If a time is reached where the population of the County refuses to support the stadium, and its ever necessary expansion, the Packers may be forced to move or be contracted. Perhaps before that happens, financing will be assessed on a wider tax base, most likely involuntarily.