I think the difference on that one was it has suspension lines through the apex and there's no gromets used, suspension lines are always sewn. I've never seen gromets used.
Closest one I've seen is in the first link I posted on page one. Here is an enlarged photo taken from that link. It has the same stitching and the metal gromets. It is also the same size 16 ft in diameter. Said to be WWII silk drogue chute.
My uncle's been dead over 30 years, no way he passed a 2009 chute to my dad. The German one isn't even remotely close.
The US stopped using silk in 1943 and went to Nylon. I believe the two I have are nylon but not sure. Pretty sure it's a drogue chute of some sort but for what, I have no idea. Way too small for a man, not for large cargo either. Maybe ammo box drops, food, other supplies.
I thought that silk generally has a bit of a "sheen to it" but the fragments of silk parachute that Posted pics of, post 2, don't. As stated they have been in a fire which may have affected their appearance.