That's just our own minds applying their own adaptive heuristics to the universe, though. We're used to dealing with systems that have a history, because that's what allows us to avoid the tiger lurking in the dark. But there's no particular reason to think that kind of evolved thinking should be scale free, through time and space.
Why is a universe that has always been in existence, cycling through different states, any more sensible than one that pops into existence only to ultimately fizzle out? Both require the presupposition of some kind of uncaused system. Gathering evidence pointing toward one or the other is key.
I do think that the Big Bang maps better to Western religious cosmogony (matter was created ex nihilo) and Big Bounce to philosophical materialism (matter is the fundamental substrate of the world), but that shouldn't bias a scientist against the Big Bang.