There are 62 questions with the tag nearest-neighbor. I just reviewed all the titles, and only one of them is specific to raster re-sampling. Clearly, many people are used to using the term near to discuss specific proximity of points. In fact several softwares have tools named this, and those tools are not related to rasters. When you're looking for 'nearest' the word 'proximity' isn't necessarily the first to come to mind. Proximity also means general case spatial distance between, whereas nearest implies a specific relationship.
nearest-neighbor could be split to two different tags - nearest-neighbor-analysis and nearest-neighbor-resampling. Or, the Wiki for it could just be revised so that it isn't specific to raster resampling, but rather the spatial analysis concept (and/or sampling in general, not necessarily re-sampling). The application where it is specific to resampling could use that tag instead or in addition to.
By the way there are 83 questions with proximity, some of which also have nearest applied. 83 isn't many more than 62, and some of it is probably related to the synonymizing of the two or edits to correct/change it. The discussion of those two tags is imho a separate issue, though I do think we would only need either nearest or nearest-neighbor, not both.