Yes, the person who raised the issue certainly thinks that the Western Wall should be listed in Israel. Anyone visiting the Western Wall, as I have, would certainly get that impression … it certainly doesn’t seem correct to say it’s in the PNA. I’m not sure how to solve the issue. Nominatim looks at political borders, so we have to deal with political borders. I’ve checked the code, and it does not seem to pay attention to is_in … dimka, if you have seen otherwise, then need some more detail, the wiki on is_in says nothing about nominatim.

The borders are correct, so what’s in error here is nominatim. I don’t know if there is a possibility to ask the developers for nominatim to return all admin boundary results, but it could be tried.