On one hand, the answer to that may very well be that there isn't a change from any perspective but our own. If the universe was inevitably going to change (which one has to believe to accept the causal chain), then it hasn't really changed at all
Anyway, from a certain standpoint, you're correct that the argument is just pushed back another step. But from a physical standpoint, it's not a clear. Essentially, everything we know about the universe is based on concepts which most physicists agree didn't really exist until some time after the Bang occurred. That's why no one has any idea how it started, or what exactly was going on before. So I wouldn't be as keen as you seem to be to bring up paradoxes when we don't even know if it was a paradox at all.