Can't vouch for the whole group but the outside Europe part is 100% not true for Louis Vuitton which is by far the biggest brand in the group. Obviously not true for the wines and spirits and retailing too.
> The Louis Vuitton leather goods collections are exclusively produced in our workshops located in France, Spain, Italy and the United States.
> The Louis Vuitton leather goods collections are exclusively produced in our workshops located in France, Spain, Italy and the United States.
https://en.louisvuitton.com/eng-nl/faq/products/eu-where-are...
Edit: Of course my Europe comment is not quite right as some made in the US too.