All your information and reasoning is incorrect and outdated. RE is not actually rare. It’s just the name for that type of elements. Because of demand there is increasing amount of mining that will come online for those materials.

The batteries are not going to get thrown out. lots of recycling is already happening and a lot more will happen as more EV cars start aging out. For any recycling to be successful, the product that comes from recycling should have enough value to pay for the process of recycling and that is certainly true for EV batteries.

Maybe stop recycling your outdated talking points.