I think the issues with recycling lithium from electrolyte containing lithium hexafluorophosphate in solvents is more the hexafluorophosphate part; it's highly reactive, hygroscopic and releases (toxic, corrosive) hydrogen fluoride upon contact with water. So purely from economic perspective it's possibly not worth it unless we are very lithium-constrained. Of course it should be done anyway as there will be a lot of used batteries in near future.
The article doesn't really give us the details which is a pity.