The short answer: your specimen without "Nye" on the label is correct.

The longer answer: the Stillwater Complex is very large.   Depending on where in the Complex the mine/occurrence is, you can have different place names associated with the location.   If you REALLY want to dig deeper into it different researchers have different opinions on what should be called what, and have subdivided areas (and named them to fit their results).   Of course there's disagreement between researchers, so take it for what it is.   Anyway, if you want to read up on the Complex here are a couple of sites you can check out:

https://www.researchgate.net/publication/304994366_The_Stillwater_Complex_Montana_-_Overview_and_the_significance_of_volatiles
(download the full-text pdf for easier reading)

Starting on page 4 of the downloadable document is a description of the files in the database.   The point features include info on "mine tunnels, shafts, adits and portals".   Whether or not this will provide reliable information for some/all of the Mindat localities that lack coordinates ... who knows?   Here's a description of what's in the data:

Mine Tunnels, Shafts, Adits, and Portals, Stillwater Complex, Montana (still_mines) The [still_mines] point feature class provides spatial and descriptive data for mine tunnels, shafts, adits, and portals in the Stillwater Complex. The data show locations of underground PGE, chrome, and copper-nickel exploration and mining. This dataset was created by digitizing points on-screen using a geographic information system (GIS). Locations were sourced from georeferenced maps or photo imagery of the Stillwater Complex. The shapefile was then converted to a geodatabase feature class. Data sources are listed in the Ref_short field, and full references are listed in the “References Cited” section of this report. The attribute table fields and their definitions are listed in table 10. This dataset is not meant to be displayed at larger than 1:12,000.