This may seem ignorant or cynical, but my baseline assumption is the contents of all bins end up in the same landfill. I'm pleasantly surprised to learn that your garden/organics/green bin actually goes somewhere other than straight to landfill. Although it's entirely possible that the capital and labour required to make it into compost and give it away for free cost more than handing out vouchers to citizens to buy compost on the free market. An analogous false economy happened in my city with a 24-hour/day train trial; when they did the math it turned out it would have been cheaper to give every single passenger an uber to their destination.