Their own story is wrong in that respect, because Carla is not entitled to a repair or replacement until she proves that the hairdryer had a factory defect. Their own FAQ says as much:

https://europa.eu/youreurope/citizens/consumers/shopping/gua...

"I bought a phone just over a year ago, and it has stopped working. The trader refuses to fix it for free. Do I have a two-year legal guarantee?"

"The legal guarantee covers any defects presumed to have existed at the time of delivery and which become apparent within a period of two years."