THOUGHT: A Big Crunch would lead to a big bang before all matter was absorbed into the singularity. If one wants to argue that all matter in the universe is required in order to initiate a new big bang, then they would have to deal with the insane teleological implication that there is exactly enough matter in the universe to trigger a big bang, and no less would do (though more might).
Yet, if one wants to avoid the teleological implications of the latter position, then most of the time when a big crunch happens, the singularity is triggered with less matter than the original big bang - leaving some matter stranded from the old big bang. Given ~infinite playthroughs, it seems like more and more matter might be stranded outside the big crunch force until eventually a new singularity capable of a big bang could not be formed.