True, science never definitively proves anything, but when you're dealing with predictions that have been experimentally confirmed countless times over the past half-century or so, you should tread lightly before declaring them null and void with one single experiment.
In this particular case, we're dealing with two of the four fundamental forces of the universe: electromagnetism, and the strong force. For fusion to occur, the Coulomb (electromagnetic) repulsion between the two positively-charged nuclei must be overcome to the point where the strong force, the binding force that holds the protons and neutrons in a nucleus together, takes over and causes the two to fuse together. As its name suggests, the strong force is the most powerful of the four forces, but it's only applicable over
very short distances; to get atoms that close to each other, you have to pump a lot of kinetic energy into them to get them to overcome the electromagnetic repulsion (which, as you'd expect, gets stronger the closer they move together). We have a good handle on what sorts of energies are involved (if we didn't, we'd find it rather difficult to build working hydrogen bombs), and those invovled in these experiments are orders of magnitude below that.
Now, could there be something fishy going on here that goes beyond what we understand of nuclear interactions? Perhaps. But if I had to venture out on a limb, I'd predict that it represents a very limited-case exception, not some massive new paradigm, and I'd also warrant the guess that its practicality, if any, would be extremely limited. Whatever the case, it needs a hell of a lot more widespread and repeated testing to determine exactly what is going on.
