To be fair, I think I trust a New-Balance-wearing dad manning a grill on his patio (seen in the video) than I do the average restaurant kitchen. I think I should be able to opt-in to it too, just show me some sort of badge that indicates the presence of health inspection.
I lived in a nice area of a Mexican city that used a sudden requirement for health inspections to eradicate the entire culture of pop-up food carts and people bringing a large pot of tamales from their home to sell. It was a heavy loss. Health inspections are so infrequent that it verges on "health theater" anyways. Once again, I simply think it's best to show people when the last health inspection was done (if at all) and let them decide.
Aside: I often don't notice that the image in BBC articles is a video. It looks like the whole article is two short paragraphs next to an image. The page is so busy that it's hard to see: https://i.imgur.com/R4PywAR.png and the play button only shows up after the video loads.