Bleah. I see from your comments that you live in Germany; in the US, DNS
used to do deliveries etc., but starting about when the Great Recession hit, they've pulled out of just about every business line they had here, except for delivering stuff from companies to our government US Postal Service ... which they do worse than UPS or Fedex, Amazon doesn't in fact use them for this, I just directly notice this from some Amazon merchant booksellers.
A "box that looked as if some animal chewed on it" ... I think we have a higher population of animals who can do this, clearly no excuse for Germany ^_^. Seriously, after carefully considering various alternative vendors for a wall air-conditioner I new for my new home given my various constraints, I ordered one from Amazon, and UPS wasn't gentle on the box, even lost on of the 4 packing straps I'm pretty sure. But no damage except to a small section of the heating exchange fins, which never make it 100% anyway however you procure them, and can be tediously combed out. I've never regretted a big ticket item purchase from Amazon like that.
Back to DHL: does not give an impression of a well run company given the USA and German datapoints; can anyone else fill in the gap in over there? I'd expect UPS to try.