I don't know if this helps directly, but it is certainly very very relevant to the cyclic models, which, some might suggest, could suffer from the reverse sequence from maximum extent to BB. Well, here is a possible answer from an article "
The Great Dark Energy Survey" by Keith Cooper (Ed
Astronomy Now),
ibid, July 2021 (
is that up to date?):
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"A cosmological constant would see space expand into infinity - as space expands, new space is created, and each bit of new space would share the same value of dark energy, so the acceleration of cosmic expansion would ramp up exponentially. This could potentially lead to a catastrophic 'Big Rip', where dark energy tears the Universe apart. A scalar field that varies with space and tie would, however, mean that all best are off - the Universe could keep expanding, but equally possible is the chance that dark energy would then weaken, slowing or even reversing the expansion and causing a Big Crunch' in the far future."
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Cat