Cancer is a horrible disease and I admit that I am not a scientist, but isn't the term "cure for cancer" a bit too inclusive?
Sure, although it's (as always) more complicated than that. There are common traits in all (or at least close to all) forms of cancer, but if you consider the "cure" from the story above, what it does is basically make a part of your immune system go NUTSO that can recognize a particular protein that this particular cancer "expresses" (i.e. has). That was the theory, anyway, but it turned out that even cancer cells (in the same person) that didn't express the protein also got nuked.
The current theory on that appears to be that the massive injection of one type of immune system cells (CD4) also invigorates other parts of the immune system.
The article also mentions another team that's looking to do pretty much the exact same thing, but with a different T-cell.
It's not completely unrealistic that a combo-shot of these could effectively cure most forms of cancer. We're a long way off, yet, of course, but the understanding of cancer has come a long way and vaccines even exist that protect effectively against certain cancers, e.g. the most common form of cervical cancer. The vaccine in that case actually works indirectly by making the individual immune to (four types of) HPV (Human papillomavirus). These HPV variants are believed to be the cause of 70% of all cases of cervical cancer, so the protection is quite significant (but not complete).