All your snarky points are answered in the linked site.
What are they actually doing with the recycled plastic? Making it into pellets and flakes. They call out that you could use these to make shampoo bottles, but dare not actually claim that such a thing is happening. My understanding of recycled plastic is that it is inherently lower grade than new plastic. If recycled plastic is that much cheaper but still as useable, then surely manufacturers are jumping at the bit to use it everywhere?
Finally, there is no mention of the energy cost or environmental impact of the recycling.