Field Police overseas cap real?

[Mad Cow Rebel]

Just popped up on a facebook buy and sell page. Price seems good to me $250USD but is it legit as the seller claims? Thanks for any help

[MarcoPennisi]

This cap is something half-way between a WH/Army pattern and a Luftwaffe/Waffen-SS style with a less contoured (sloppily shaped , here ) flap. German “field police” had neither.
Can’t get properly the colour of the wool, looks Army field-grey on my monitor whereas it should not.
The liner show a rushed construction.
The stamp is fictional.
The textile and the threads should be tested.
The eagle insignia is for Fuerwehren (local Fire Brigades).
Sorry for my rigour, but it’s totally wrong.

[Mad Cow Rebel]

Thank you for your input. I know absolutely nothing about polizei overseas caps so I'm glad I asked here.