After exporting orthomosaic, DEMs and other objects from Metashape in NTF (Paris) / Lambert Sud France (EPSG:27563), the data is shifted about 550 km to the north. After a brief investigation, the CRS definition seems to have an error in the latitude of origin value. The correct value is 44.1 degrees, while the value set by Metashape is 49.
The thing is that this CRS is usually defined in grads, therefore 49 grads is the correct value for the latitude of origin, but it appears that outside of Metashape different software (e.g. QGIS, ArcGIS) interpretes these 49 grads as degrees, resulting in a shift of 550 km to the north.
Editing the definition or setting the projection in GIS software or through gdal_edit to correct value removes this offset.