Search results and addresses

Hi, as can be seen in the attached screenshot some search results have streetname/city/region addresses, others only have state. Why? what can I do to have streetname/city/region in a result? it's useful to distinguish between results with the same name.

Also, for the specific "parco delle cave" search, some results are missing: the first three are
https://www.openstreetmap.org/way/22746526
https://www.openstreetmap.org/way/442470096
https://www.openstreetmap.org/way/42317031
but this should also be included
https://www.openstreetmap.org/relation/1446476

Finally, searching "parco delle cave brescia" returns only
https://www.openstreetmap.org/relation/8618577
but way/42317031 and relation/1446476 should also be included.

I'm an osm contributor and I'd gladly edit any of the above if needed, but maybe it can be "useful" to have that many corner cases for testing the search engine.

HUUUUUGE thanks for cycle.travel <3