I'd say it sounds reasonable.
To me, it looks very pre-war and the only thing that pushes it close to WW2 is the Nazi stamp.
I would buy it and then decide where to go with it. The wood looks very solid and anything that bothers you such as the scope mounts, bolt or the sights can be addressed later on.
The W.R. UK site has a little feature that dates any gun with a W.R. serial number.
I would buy it for sure.