It's unlikely to be worth it. If you want a board supplier to use a particular material, specify the material and let them procure it themselves.
Consider for a moment what happens if the yield is poor. Why? And who is responsible?
If the PCB vendor procures their own raw materials, you don't have to care about any of this. You pay the agreed price per working PCB, and don't care about scrap.
But suppose the PCB vendor uses your material, and they end up with a lot of scrap for whatever reason. They quite rightly blame your material, and no doubt charge for their wasted time and resources. They've no idea where the material came from, how old it is, how it's been handled or stored. They're not responsible for it, and likely won't be impressed if your only justification is "it's cheaper".
If I were a PCB supplier in this position, I'd decline the order.