If the goods operated normally and were being used for the month (as opposed to not having been used for the first time until a month after purchase), it will be difficult to argue that the fault was there at the time of purchase. It looks much more like a fault which developed in the course of use and thus a matter which the retailer and the manufacturer can argue is covered by warranty.
Care should be taken not to always accept what is said on the Gov. website as gospel. It is a condensed overview and not necessarily precise.
Scotty and Mongo agree to disagree. :