Well, people here seem to disagree, so take this for what it's worth, but executing a neural net doesnt have a series of logical steps like an algorithm (add X to Y), but instead knowledge is implicitly stored in the link strengths of the neural network that leads to a certain output.

Since there isn't a plain sequence of steps that can be followed to explain the output, i'd say a different term is justified. Whether you call that "intelligence" is debatable.