One of the good things about wood is you don't have to worry about it sticking around for 1000+ years. The problem with plastics is most of it can't be recycled. Not the way we think of recycling.
Aluminum cans are melted down and turned back into aluminum cans. Polymers are ground up and injection molded into lower grade polymers. Once too many polymer chains get broken the grade is too low to be usable.