Method famously split from the status quo for a while, years ago, and produced non-recyclable containers for some of their products. Their position was that if recycling only nets you 30% of the inputs back, you are better off using virgin materials to make a container that takes 30% of the material of the recyclable version, because you reduce the footprint of shipping, and the pollution of recycling.

I believe Danon yogurt made a similar decision when they went to thinner plastic on their single serving cups.

I think Method has since figured out a recyclable solution so their refill bags are recyclable but still made of next to nothing.