It makes sense that it would, if the parasites etc. die at 212 degrees F, why would they stay alive after the water hit that point.. either the temp kills them or it doesn't. If it needs to be hotter, they need to say that.
I can be wrong, but my memory of my science and oother classes is telling me that water cannot get hotter than boiling and remain in the liquid state. As you add heat to boiling water, the heat turns the water into vapor, i.e. steam.
But otherwise, yes, it makes a lot of senses that water once at boiling has already killed all of the organisms need to be killed, if boiling it for one minute is also good enough. However, once I had it boiling, I'd give it that extra minute, just to make sure, provided I was nto concerend about my supply of fuel.