I had to look up "sheave."
All mine have nylon sheaves, stainless steel bolts and aluminum side plates--or whatever the technical term is. They have worked better than some with metal sheaves. An important consideration is that the side plates should meet together nicely where the carabiner connects. My friend has some that look similar to the Petzel Fixe Pulley, with a metal sheave and side plates that don't connect. After pulling me off a rock, his pulleys' side plates were bent together.
I don't use cheap hardware store equipment, but I generally buy the cheapest pulleys for sale in the climbing/ropes department at whatever outdoor store I'm at, which is usually about $20. They haven't let me down yet. I feel like with rafting/river rescue, it's the pulley you have on hand that is important not so much the type. Just my .02.
BTW, we typically spell it "biner," not "beener" or certainly not "beaner" which is just a slip of the keepboard away.