@piggo This is done more often than you'd expect. It's quite common practice also for many Czech diary products. You just need to carefully read the diary products EU-origin label next time you go to your supermarket. For instance here an example from Slovakia: https://m.smedata.sk/api-media/media/image/sme/7/16/164407/164407_1200x.jpg?rev=1
This is a product made of Slovak milk which is exported to Germany where they make butter from it, which is in turn shipped to Slovakia - it's one of the most sold brands in the country. The reason is/was the efficiency and capacity the of production line in Germany: https://ekonomika.sme.sk/c/6695153/slovenske-maslo-rajo-vyrabaju-v-nemecku.html.