Nominatim: get primary_link, secondary_link ways

I can't get any information about osm ways primary_link, secondary_link etc. from Nominatim. Seems that there is no information in Nominatim about this roads at all, because, for example, even on https://nominatim.openstreetmap.org/

when i try reverse search for point 55.707947 37.57625 and zoom 16 I can't get info about osm way 40946080 (but i can find it manually by link in list of points for way 51876561) https://www.openstreetmap.org/way/40946080

In postgres nominatim db (tables place and placex) i also can't find required osm_id. This case reproduces for ways with tag primary_link, secondary_link

Is there any way to get ways of that types in Nominatim (or, maybe, change data import to my (local) osm db from pbf)?