That's an interesting hypothesis.
It's also possible that because all matter in the universe is approximately the same age, that all life in the universe is also all approximately the same age and at the same stage of development.
I think that's a stretch, to be honest. First, there are a number of factors that have both sped and slowed our own development. Climactic changes, the fact that we have large pools of nearly ready-to-use fuel hanging around at depths we can easily drill to, an absence of multiple competing (and genetically incompatible) top-of-the-food-chain predators, for example. We also know (or are pretty sure) that our own planet is about 1/3 the age of the universe in general, and that there are many far more ancient planets. There were star systems complete with planets billions of years before our sun ever sparked into being. There's no guarantee that other intelligences would develop at a rate comparable to our own. They might be much smarter, or dumber (though that's hard to imagine). My
hypothesis pure amateur conjecture is that civilization itself requires a combination of individualism and collectivism where the emphasis is a little to high on individualism for viable interstellar civilization to ever be possible, or at least practical, but civilization is a prerequisite for even imagining such a thing.
Eh, I don't have it in me to go into it right now so I'll just say that there are reasons that it is perfectly plausible that other life in the Universe is of similar age, and there are also perfectly legitimate reasons to think that other planets that harbor life are very similar to our and have followed a similar path, mass extinctions and all. But I'm tired so I might just try to remember to come back to it at another time.