I doubt it military.....not your usual Mitre hat, not like the Imperial ones I have seen before, which usually have a metal plate on the front and appear taller than this one...perhaps civilian marching band cap...the Germans are fond of their marching bands and usually dress them in a military style of old ! with this having the "Prancing Horse" motif from the Neidersachsen region.....
Prost ! steve.
"The German Army is the perfectly adapted, perfectly running Machine. The difference is that the Germans are organised with a view to War...with the cold, hard, practical and business-like purpose of winning victories."
G.W. Steevens - The Daily Mail (1897)
Also doubting it is a genuine military time piece. But lets not forget British army used thise type of headdress also, and the horse makes me think that way...
Always looking for Belgian Congo stuff!