This happened to me: I ordered a cheap UV EPROM eraser on eBay with three-day delivery. It was literally drop-shipped from Amazon, on an Amazon truck, in an Amazon bag. I could have gotten the same (crappy, simple) product on Amazon a day earlier for about a dollar less. But I was trying to avoid buying on Amazon, because of all the reasons posted in this comments section!
Same thing happened to me. I've been trying to avoid ordering work stuff on Amazon since they're technically a competitor, so I ordered a part on eBay. Coworkers commented on the Amazon package when it arrived, much to my confusion. It's happened a few times since then, I think they call it 'fulfilled by Amazon' or something like that.
Happened also to me with some products when shopping online either from Ebay or directly from some seller's web shop (I don't have a Amazon account): items came in a Amazon box with all their markings. No problems whatsoever, but the sellers were reliable.
That's just someone doing retail arbitrage: they take your eBay order and immediately have a bot (i.e. https://zincapi.com/) place an Amazon gift order to your address. Amazon does shut down buyer accounts for this but it's so rampant that it's more or less whack-a-mole.
