I'm using QGIS 3.4 to consult the Italian cadraste maps, using the Government's WMS service available here: https://wms.cartografia.agenziaentrate.gov.it/inspire/wms/ows01.php
As the technical specifications of the WMS source explain (confirmed by GetCapabilities), the native coordinate system of their backend is EPSG:6706, so, at first, that's what I tried to use for my map. I set that as my project's CRS, enabled on-the-fly reprojection, imported some OSM tiles for visual reference (EPSG:3857).
I then created the WMS connection in QGIS and added the relevant layers. The outline of Italian provinces appeared; however, it overlayed Eritrea. Thinking I had made a mistake, I checked the CRS for the OSM tiles was correct, and it was.
So I made a test: I first checked that QGIS was making requests to the service using EPSG:6706. Right-clicked on the layer, clicked on Properties, and the WMS parameters confirmed the right CRS:
I then tried to add the layer using a different CRS, just for the sake of tring. I opened the Data Source Manager, selected the WMS data source, clicked Connect, selected the same layer as before, changed the CRS to EPSG:25832 and added it. To my surprise, it worked! The outlines now overlayed the OSM tiles for Italy. Of course, the lines were a bit blurred, because my project CRS was still set to EPSG:6706 and so the WMS data was being reprojected on the fly. So I tried setting my project CRS to EPSG:25832 as well and everything looked fine.
At that point, I wrote the issue off as a mistake on the part of the WMS service, maybe they were simply returing the wrong data when making requests with EPSG:6706. That would make sense, because the issue was solved by simply switching to a different supported CRS.
Then I started fumbling around, and at some point I needed to find the GPS coordinates (i.e. EPSG:4326 coordinates) of something I was seeing on the map. So I noted the shown X,Y coordinates (in EPSG:25832, the project CRS), I opened a calculator, I set EPGS:25832 as the source CRS and EPSG:4326 as the destination CSR and I typed in the coordinates.
The coordinates didn't quite look right to me, so I pasted them in Google Maps and I ended up in... Eritrea.
I'm now convinced I'm doing something wrong; however, I simply do not know what to check. If I'm doing something wrong with the coordinates, how can the OSM tiles and the WMS outlines match perfectly, being in two completely different CRSs?