Veritasium just uploaded a new video.
And apart from the funny subject in itself, it contains a few related and pertinent ideas.
First : it calculates the probability for any permutation to create a "loop", or "orbit", of length one half (or more) of the total number of items. So this is a first hint to find the distribution of "maximal" or "perfect" orbits, except that generalised PEAC are not random.
Second : adding an offset to the items' coordinates changes the topology of the loops/orbits. And this is exactly what the carry does in PEAC.