The country property seems to be set from the region parameter of the
{{#coordinates}} parserfunction [1]. When the coordinate comes from
Wikibase (as is the case with that category page), it seems like it is
never set [2]. I did not check the other properties but presumably the same
situation.
[1]
https://gerrit.wikimedia.org/g/mediawiki/extensions/GeoData/+/f2fc19967630d…
[2]
https://gerrit.wikimedia.org/g/mediawiki/extensions/Wikibase/+/c962837948cd…