Joe,
Every time I’ve purchased ammo in NY at any big box store, they’ve asked me for my Firearms Purchaser ID. They say “pistol permit” since that’s what NY residents need and I give them my FPID.
If you go to Davis in Goshen they won’t but of course they aren’t having a sale.
I showed them my NJ firearms ID — which apparently does not fulfill their requirement.
As I wrote in another reply on this thread, I’ve purchased ammo at Gander Mountain in Middletown before, but have never had to show any kind of permit/ID to buy that ammo.