That doesn’t seem to follow, actually. You could easily have a very large universe that’s almost entirely empty space (which does “repeat”), plus a moderate amount of structures that only appear once each.
And as a separate argument, plenty of processes are irreversible in practice. For instance, consider a universe where there’s a “big bang” event at the start of time, like an ordinary explosion. I’d expect that universe to never return to that original intensely-exploding state, because the results of explosions don’t go backwards in time, right?
What about the claims in “Maintaining behavior” that you do need consistent aversives (punishment), but only inconsistent rewards? That seems to say the exact opposite of the earlier stance: it says that you should use lots of punishments (every time the subject gets something wrong), and few rewards.
I’m confused as to what the book actually wants you to do.