A relevant news report: https://www.bbc.co.uk/news/uk-england-essex-64151619. Fortunately a Jazz is unlikely to be attractive.
This report is nothing new. Expensive vehicles, vans, excavators etc have been stolen and shipped to Africa and other poorly regulated countries for years ,Long before keyless entry. And the methods criminals used to target and steal them,and get keys was equally worrying for the owners. Home burglary, car jacking etc.
UK Border/police control of exports and outbound 'containers is woeful. Thats the way to reduce the criminal trade. Cars, stolen cat converters etc etc .
Cutting cars in half is nothing new either. In Greece there are thousands of half cars sitting on racks in salvage yards .Not just the front and rear end panels you often see on racks in other countries. Literally the whole car cut in half behind the A or B pillars. Presumably half cars are easier to import, or cutting local scrapped cars in half ends their identity and liability for continued road taxes etc. A bit like Sorn in the uk only stricter . Most seem to be relatively modest cars, and probably legitimate write offs, but some may be stolen. And much easier to convince officials at various borders and licencing departments that half a Range Rover or whatever is nothing unusual. I have often sat at border crossings behind a van and trailer with 2 or 3 salvage' cars that are waived through quicker than I was.