I know lead batteries are fully recyclable but I have no idea about lithium.
Here’s an interesting tidbit.....
Can Electric Vehicle Batteries Be Recycled ..... https://enrg.io/can-electric-vehicle-batteries-be-recycled/
From the article.....
Conclusion
Yes, electric vehicle batteries can be recycled. But not as cost-effective as one may expect, as the cost of recycling is more expensive than the cost of mining and creating a new battery. Extracting lithium from old electric vehicle batteries is more costly than mining and processing lithium. So the safest bet is reusing the old car batteries.