Here’s an old teapot I ported over to Blender and rendered in Cycles X.
That’s a nice model but a poor-quality casting. I don’t think that the lid would have made it out of the foundry looking like that. Usually, one of the final manufacturing steps is some kind of “scrubbing” to get rid of the sand and scrub it away along with some of the roughness it leaves behind. Here’s how one leading ironware manufacturer in America describes their process: (Notice step 5.)
They’d pay particular attention to the handle and the lid, because you touch these parts.