From what I have found on Google Street View and the official Premier store finder website https://www.premier-stores.co.uk/our-stores/sr-stores, this shop is an independent store called Holton Road Stores - 218 Holton Rd, Barry CF63 4HQ
However, there is a Premier shop:

253 Holton Road
Barry
South Glamorgan
CF63 4HT

0.1mi away which may be causing the confusion

https://www.google.com/maps/dir/51.4068827,+-3.2617670/253+Holton+Rd,+South+Glamorgan,+Barry+CF63+4HT/@51.4070133,-3.261852,20z/data=!4m12!4m11!1m3!2m2!1d-3.261767!2d51.4068827!1m5!1m1!1s0x486e05bfeb99fd55:0xb4fb604960611152!2m2!1d-3.2594038!2d51.407793!3e3?entry=ttu&g_ep=EgoyMDI2MDQwNS4wIKXMDSoASAFQAw%3D%3D