In fact, your comment was salutary. "Weyl quantization" was the original name of the article, as you see in item 2, above. Since the article dismisses  this in favor of the transform, which undergirds the phase space formulation, there is no confusion here. However, the old name is still linked in other articles sending the reader here, presumably to learn about the transform, and thus the phase-space formulation. The reader might end up getting the wrong impression, until this article is read more carefully. I did a secondary sweep of the wikilinks to Weyl quantization and replaced the most dangerously misleading ones.