That’s a misleading statement – there are some API parameters which legitimately do not work on the Explore page, but the majority of them DO work, they’re just not present in the GUI. Search by geoprivacy is one of those, i.e. you CAN search by geoprivacy on the Explore page, you just have to modify the URL rather than relying on the GUI.
So the equivalent to https://inat-explorer.dataexplorers.info/?user_id=52316&verifiable=true&spam=false&geoprivacy=obscured but using the iNat Explore page is https://www.inaturalist.org/observations?user_id=52316&geoprivacy=obscured