The 'statutory warranty' period in Australia is not necessarily based on the type of product, such as an e-reader or TV. Instead they "apply for the amount of time that is reasonable to expect, given the
cost and
quality of the item" (my emphasis)
Reference here.
So a cheap no brand TV would not have the same statutory warranty period as a high end TV.
An e-reader, at $120, is not expensive but I would expect more than 12 months for sure. As the OP has asked would be interesting to see it tested with an e-reader.
The first port of call is to talk to the seller as it is "it is their responsibility to provide a remedy". As such there would be a variety of success depending on your retailer.