Nothing against a Beetle map. My 2013 Stone has none, it has the last iteration of the standard map. And I can start the engine in any temperature between - 8°C and +38°C, it idles, and after putting on the gloves I can ride without any problem. I think the bike in question has a small issure that should be mended before the map is exchanged. I would take a look on the Lambda probes first (I know similar issues from cars). There is a whole chapter that describes the test procedures of the probes in the shop manual.