>It might not be profitable to recycle plastics- I'll give you that. But it's better than sticking it in a landfill and waiting 1000 years.

Plastics are basically forever. They just break down into smaller and smaller pieces and contaminate the environment (they've found commercially sold sea salt contaminated with micro-plastics).

With the exception of the plastics that are biodegradable (expensive and extremely uncommon) and the ones that we've discovered worms can eat.