Don't know why you put the joke alert icon, that's exactly what HMRC do.
It goes even further. HMRC know, for example, exactly how many meals each type of restaurant can get out of a chicken. Posh French might get two meals per chicken, Italian might get four, Indian six and Chinese eight. They also know (and feed back to trading standards) when a restaurant deviates from the model and is selling more meals than they buy chickens, thus implying the local cat population is at risk.
As always, it's just a model, but it proves that if you're attempting anything out of the ordinary you're going to stand out. Got to buy the boxes to match the sales. So if your local purveyor of genuine Italian pizza is regularly taking unused boxes to the recycling, they probably are genuine Italian of Sicilian extraction.