I am an American male in his mid-20s, visiting Germany for the first time this winter and staying for a week. I will be staying in North Rhine-Westphalia around Cologne, flying in and out of Frankfurt. Much of my cold weather gear is surplus from Germany and Austria. For the temperatures forecasted during my visit, I was planning to wear this surplus Polizei parka, as I understand that the green Polizei style was phased out a number of years ago and replaced with navy blue.

Does the jacket's outmoded coloration and lack of POLIZEI lettering exempt it from being considered "official clothes" under § 132a StGB? Will the patch reading Saarland Justizverwaltung be given a pass because it's on an out-of-use uniform, or will it fall afoul of that statute, which forbids unauthorized persons from wearing official signs same as it forbids official clothes?
If the Polizei parka is too risky, which would be the better option between a surplus Bundeswehr parka in the flecktarn Camo pattern and a surplus Austrian parka in olive drab with a Steinadler patch on the left shoulder?

In America, it's not uncommon to wear camouflage in the winter, but will German people assume I'm some Bundeswehr veteran because I'm wearing camouflage? And will the patch on the Austrian parka cause people to assume the same for the Bundesheer?
I have read the similar question Can I wear all types of military surplus clothing in Germany?. I am asking for clarification on specific articles of clothing of questionable "official-ness" and acceptable substitutes to make if my first choice of a winter coat is against the law.