It's a bit sad that the discussion ended up about word definitions, but as we've gone in that direction, I don't feel these definitions are correct.
"Craft" is the technical skill involved in making something. Something that was never intended to be perceived as art can certainly be described as craft if it is skillfully done. On the other hand, unless randomness is an important part of the process, a piece that has pretensions to be considered art, can also involve craft.
Ansel's work for example, has a high component of technical craft - it wouldn't be what is is without the high technical skill level applied to making it. However, lots of people say there is more to it than the craft, despite the reliance on craft. AA's subject selection, choice of viewpoint, choice of lighting (when to shoot and when not to), the printing stage where he decides which tones to darken and which to lighten, these things all involve artistic judgements, even though craft is involved in the execution of the vision.
It's not one, nor the other.
HCB's decisive moment: that's an artistic decision. Craft is involved in successfully timing the moment to press the button so the camera captures the exact moment in time desired (given the mechanical constraints of the camera), but the decision about when is the precise moment to be captured is pure artistry. A moment earlier or later, the exact same craft is employed but the image captured is no longer art, but a failure. The mis-timing can be caused by a failure of craft, but it can also be the result of a failure of artistic vision - the photographer simply fails to realise that a piece of art awaits if only she chooses the right moment.