A 115 comments and no one has yet mentioned that the device plugged into the AC outlet and it did not have a UL listing.
The problem here is that UL listings (or equivalent) are voluntary and there is no legal requirement for a product to carry one. But there is a common sense requirement. Where were the parents when it came to looking at the product for safety approvals? It was free to ship it back to Amazon if they didn't like what they saw.
And I really believe this "It alleges the family was sold a counterfeit product from China instead of a brand with a Samsung lithium ion battery they believed they were buying from Amazon" So they were sophisticated enough to have researched that Samsung Lion batteries were better, but they were not sophisticated enough to notice the lack of a UL listing.
And who was being counterfeited?