I don't buy it, why?
Because if we look at anything in the universe, that thing is only as it is right now at this point.
It will not be the same the next time.
It will look as if it's the same, but it has changed on levels we cannot measure.
Just like we humans look the same from day to day on the surface level, our cellular structure has changed from day to day in so many different ways.
And when we reach our end of the line and die, we change into something else.
Nothing that our body was composed of vanishes, it simple changes into other elements and properties of the universe.
The same goes for anything in existence across time.
Nothing can exist if time seized to exist.
Because existence itself is bound by motion and motion require time.
With all of that said, it seem obvious to me that everything that exists is under constant change, including the very universe itself.
So my argument there is that the universe has always existed.
And that which we call the big bang, is just one point in the infinite of which we are able to trace back to.