I'm in a mixed working environment with some ESRI licenses and several people working with QGIS. For a project, we created data and received data in EPSG 31468 (Gauß-Krüger Zone 4). We now need to move to ETRS 1989 UTM 33N, seven digits.
I think EPSG 5650 is the one we need (ESRI users are told to use the apparently ESRI-specific WKID 102359).
I chose to use batch reprojecting the existing polygons, lines and points using ArcMap Batch Project, and produced output in EPSG 5650.
If I now create a QGIS 3.2.1-Bonn project with this EPSG, and load a created shapefile, it gets loaded as EPSG 5653.
From the linked description, I can see that only the following lines are different in EPSG 5650:
AXIS["Easting",EAST], AXIS["Northing",NORTH], AUTHORITY["EPSG","5650"]]
I am no geographer, but I think the Easting/Northing definition is obsolete. But why is it ignored? This seems to happen also with other projections.
The second part of my question is more severe: comparing the GK4 data with, e.g., Google aerials shows they are correct. After reprojecting them, they are about 200m off. I suspect I need a transformation, but I don't know how I can do this. I can't choose one when reprojecting, neither in batch nor single mode.