I'm one of these people who has consistently allowed chickens access to long grass, clippings, straw, hay, you name it, and have never seen impacted crop.
However I've seen gizzard impaction where the gizzard was jammed up with nesting straw. I believe this was due to a lack of hard grit. Her crop was empty. She was a bought-in bird and arrived with a feather eating habit, so perhaps she was eating nesting straw in an effort to eat feathers (they were tangled together).
Whatever the case, I think birds with access to fresh green pick don't generally gorge on hard fibrous material, and even if they do, hard grit and a healthy digestive system ensure there are no problems.
I've been feeding alfalfa chaff (mixed in a ration) for 10 years, and I don't take out the stalks. It doesn't make sense to me that fibrous foods commonly cause crop impaction.
I suspect there are often (which is not to say always) other issues at play, e.g. microbial imbalance; poor muscle tone in the gut; lack of hard grit; mineral imbalance; overuse of antibiotics; something else.
cheers
Erica