In the UK (and EU) the shop can't refuse it. For the first 6 months after purchase, any failings or faults are assumed on the part of the supplier than the consumer - the onus of proof is on them to show you did something wrong. Ergo, it's their fault and it's your consumer rights to get it remedied.
Seems odd that some some parts of the world are still so medieval in their views of business.
Sony has confirmed that they rejected my case.
In my region, it's only online shops that sells stuff in their 1st and 2nd party shops that have proper customer protection. I've got a few defective products and the return was always zero fuss.
Any other shops that are in physical space like large electronic shops, multi national shops, etc have that medieval customer protection, including the customer service. The only exceptions are Chinese brands like Lenovo, TCL, etc. Simply directly contact the brand (skipping the shop), and their customer care is top notch.
I'm planning to make a short video mentioning the shop, it's company name, and mentioning the customer protection laws they potentially broke, advicing people to be super careful and make sure to not receive defective product when buying from them.