Not my field of experience but, if this can help, surely there was a Rosenkranz-Hüte in Nürnberg, Karolinenstrasse 43/45 before the war. Probably destroyed, because I didn’t found their records in the 1963 adressbuch:
Hi!
Definitivly no forestry ski cap.
The Baschlikmutze or ski cap from forestry always had two button front, also the typical grey-green forestry colour and green piping not only oround the crown, but also around the neck cover and (for most examples) a green lined visor.
From what I see this cap is a customs/ border guard ski cap with wrong eagle. Colours and the one button front were typical for them. But I am no specialist in Customs/ border guard.
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