I found this Mapillary-picture ( https://www.mapillary.com/app/?lat=55.962328721155984&lng=8.146203424366831&z=19.737938800612838&pKey=913116733146800&focus=photo&x=0.5505741459259293&y=0.5292478975101771&zoom=0.33969488846151297 ) from the path in question. It is definitly marked as combined cycle- and footpath and not as cyclepath. So my memory and the notes I made where correct.