Its very common for people from Salzburg/Austria to shop in the Berchtesgaden region, however with bigger distances from the border this doesn't make sense.
Re Austrian products cheaper abroad than in Austria - there was the curious case of a beer drink from Gösser, that was sold cheaper 700km away from the brewery in Berlin than in the town of the brewery itself: https://twitter.com/KernNiko/status/1692954540293947408/phot.... Gösser argued they wanted to promote the drink in Germany against local competition and that this was a temporary price drop.
Again, Germany made a smarter move by developing beer powder concentrate (https://www.wa.de/verbraucher/bierpulver-klosterbrauerei-neu... German). This allows them to remove the 90% water share of the beer when exporting it to Asia and still sell it as "brewed in Germany".
Re Austrian products cheaper abroad than in Austria - there was the curious case of a beer drink from Gösser, that was sold cheaper 700km away from the brewery in Berlin than in the town of the brewery itself: https://twitter.com/KernNiko/status/1692954540293947408/phot.... Gösser argued they wanted to promote the drink in Germany against local competition and that this was a temporary price drop.
Again, Germany made a smarter move by developing beer powder concentrate (https://www.wa.de/verbraucher/bierpulver-klosterbrauerei-neu... German). This allows them to remove the 90% water share of the beer when exporting it to Asia and still sell it as "brewed in Germany".