As you discovered, if the difference in Semi-minor axis is not important for your needs you can consider that they are identical systems. And if you use any program that is using Proj4 projection library (GDAL, QGIS etc.) there will be no difference between these two. You can test it yourself with gdaltransform http://www.gdal.org/gdaltransform.html

    gdaltransform -s_srs epsg:25832 -t_srs epsg:32632
    500000 200000
    500000 200000.000006593 0