Obviously, that is assuming that nothing "turns the clock back". A Delta "state of small-town prosperity" can easily revert to an "Alpha state of claiming for Beta government" under certain external circumstances.
A Gamma state of "making an existing government work" can easily be thrown off-balance by situations that invalidate the working of that system, and then Beta is needed to implement another system.
An Alpha pre-state situation can endure forever if there is already, due to some reason, a state of material satisfaction, which does not require the "demand for Beta".
In fact, each of those systems can endure "forever" depending on the circumstances, but I would argue that the "natural" and peaceful evolution is, obviously, Alpha ->Beta -> Gamma-> Delta.