Amazon got us hooked on one day delivery, now small businesses are paying for it
wsj.com
wsj.com
If you're trying to sell things to people, and it turns out what they care most about is the level of fast, free shipping Amazon marketplace offers, then you have several options: join Amazon marketplace and pay their toll, or create your own marketplace and compete with Amazon, or compete on some other aspect of your product and hope that customers care about that more than shipping.
As a side point, it seems crazy that the family mentioned in the article decided to abruptly stop selling through shops and suppliers? I wonder did they test their online sales first?