This is how it works in Germany. Lots of their water bottles are made of glass, and end up with textured/worn rings along the bottle; The rings are from where it goes through the recycling machines to get prepped for the next use. The rings mean the bottle has been reused a lot, and has gone through the machines enough to get slightly worn.
The highest value for the economy is cardboard recycling. Honestly, cardboard recycling creates a LOT of jobs. Companies get into bid wars trying to buy cardboard scrap to recycle.
Cellulose is generally recyclable but as I understand it degrades through each cycle, until it's basically unfit for recycling and is more efficient to burn for energy.
Recycled plastic gets used more when the price of oil goes up as these commodities are closely tied. Some places like automotive manufacturers only take auto grade plastics and those recycled materials can be in short supply so their is often demand for it.