Yes, which is why eg. where I'm from (northern Europe) recycling plastic hasn't even been a thing until very recently, except for things such as PET bottles whi

Yes, which is why eg. where I'm from (northern Europe) recycling plastic hasn't even been a thing until very recently, except for things such as PET bottles which have a deposit and which recycle very well. Improved automatic sorting machines have made plastic recycling more feasible, and providing a separate bin for plastics is now required for medium and high density residential properties. (It has been normal for decades to have separate bins for glass, metal, paper, and cardboard; in recent years bins for plastics and biodegradable waste have been introduced as well. There has never been just a single all-purpose "recyclables" bin.) And yes, a lot of household plastic still isn't recyclable because there are just so many types of plastic, with so many different additives used. But it is also a case of "build it, and they will come"; new industrial uses for recycled plastics do pop up once the infrastructure for delivering high-enough-quality streams of raw materials is in place.