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Here in Leipzig (Sachsen had already mandated masks in retail and public transport) that's exactly the case, so many improperly worn and handled masks. People just sliding them over their chin as soon as they leave a store, supermarkt workers only covering their mouth but not their nose, the queues in Dresden for the government-provided masks, most likely no or inadequate disinfection after wearing, et cetera.
It's an absolute shit show, even more so because people have stopped keeping their distance in stores, from what I can see through the windows of trams in public transport people are trying their best, but that probably won't last long either.
Oh, I'm not worried about PPE supplies. I'm just worried about people relying on it too much and it having the opposite effect of what's intended, as above.