Have you ever heard about the Animal Welfare ActAnimal Welfare Act in New Zealand?
https://www.mpi.govt.nz/law-and-policy/legal-overviews/animal-welfare/animal-welfare-regulations/
The law is not primaryprimarily about the consumption of meat in the sense of eating. However, if you take a broader definition of consumption then the "ban" of animals for cosmetics testing might go in the direction of what you were looking for.
I am putting "ban" into quoting signs since it is in fact - as you have anticipated in your question - doubtful if the law will in fact change the practices in the industry.
See for example the link belowthis link for a more critical view on the law.