Now you might want to trust them, maybe to hold the code for a nuclear reactor protocol that was running next door to your house, as Clint said: Go Ahead, make my day.
If a system running a modern nuclear reactor is using 2732 UV EPROMs, whether they're fake or not is the least of my worries!
As far as the USPS is concerned, that seems like an orthogonal discussion. I've always figured the shipping from China to be so cheap because it's subsidized at the source to get it across the sea, then they take advantage of our relatively inexpensive last mile at the USPS.
At least until recently, it was not subsidised in China; the U.S. and similar countries were effectively subsidising packets shipped by mail from China.
For international mail the source country's postal service collects the postage and is responsible for getting the mail to the destination country. At that point, the destination country is responsible for the remainder of the delivery, and the source country pays
terminal dues to the destination country based on weight, number and type of mail. Generally this is profitable for the source country as the cost of delivery to the destination country's postal service, minus terminal dues, is less than the source country's postal service received to mail the letter or package.
This wasn't a problem for decades while the U.S. shipped out more by post than it received; in 2010 the U.S. postal service made about a $275 million surplus on international mail. However, in the 2010s things started to switch around as people started order more and more things directly from China, which also happened to have low terminal dues due to being in one of the "developing country" categories. Combine that with the lower labour costs and thus lower postal rates, and now you could actually ship something from China to the U.S. more cheaply than from the U.S. itself, with the USPS picking up most of the cost of delivery.
This has been changing since then, especially since the 2019 Extraordinary Congress of the Universal Postal Union, but I don't really know the state of things now.