@Kirime
Except what nasa is loosely referring to is closer to "the big crunch" which is one of the theories that came after the expansion of the universe of discovered. When you have something like the universe expanding boundlessly in all dimensional directions, the force of gravity becomes weaker in comparison to the other three forces of nature. Gravity works best as a collective and the more gravitational bodies move away from each other the less of an impact gravity has on those bodies. There are multiple theories concerning what happens as galaxies and stars slowly speed away from each other as the eons continue. One option would be that the particles needed for new stars won't be in high enough density to continue the solar life cycles such as we have it currently. Eventually the fuel in galaxies will be used up, and the celestial bodies will be too far apart from one another to be visible. In other words, eternal darkness. This is the "big freeze" theory of the end of the universe. The "Big Crunch" Is more what nasa was talking about. As the universe expansion increases, it puts great and greater stress on the fabric of Space-time. Of course space time fabric is just an analogy, but if you see it as the combined force that supports the foundation of what everything is built on, mainly physics and those four forces, then eventually the expansion of the universe will cause the fabric of space time to fail. When that happens, everything falls apart form a dimensional perspective. Quantum mechanics would argue that Nasa was 100% correct that as gravitational forces loose their influence and the universe dissolves, the space between atoms will expand due to the weakening nuclear and electromagnetic forces. The "Big Crunch" is essentially the failure of the universe through the infinite expansion of everything, this is caused by the infinite strain placed on the fundamental forces though the accelerating expansion of the universe.
It is fundamentally more plausible that this will happen than the universe being able to survive long enough to reach pitch dark, or that there will be some sort of bungee cord effect where the universe reaches a cosmic limit and then everything comes crashing back together by an unseen force eventually causing a new big bang.
I would like to add, that "the big crunch" may or may not be explained by dark matter. There is research is seeing how there seems to be a correlation in the increase in dark matter making up more and more of the unseen mass of galaxies and an increase in expansion. I've seen it explained that as gravitational forces weaken dark matter almost acts as an exhaust or bi-product in proportion to the weakening, this would explain the perpetual nature of the speeding expansion.
The only other thing I see of interest on this matter would be dark Flow, which are the observable waves of dark matter and energy that have been observed at the expansion point of the universe. I find these fascinating on their own merit but probably unrelated to what nasa was going on about.
End point: the boy wasn't as far off as you were thinking.