We produce 380M tons of plastic per year. IIUC, that's about the size of the entire lumber industry - of which cork is a very small insignificant percentage.
Cork has a very small part of the planet where it grows well, and basically everything else valuable grows well there, too...
The Nanocrystalline Cellulose market will be bigger than cork by 2030 probably - and even that is 25 years away from making a real dent in plastic consumption (aggressively).