Never had an issue with clippings blocking their crops (14 years). I'm guessing that if it's a problem in the States (and other first-world nations) and not here, that it may be due to how it's cut, and how often.This makes me cringe...good way to get a clogged crop.
My grass is only 'mown' down once a month during the growing season, and they use a weed eater to whack it all down. I allow it to sun-dry where it lays before gathering it up... it looks a lot like straw when it's ready. Then just pile it up into a mountain for them to tear apart. The strands are quite long, and they usually are only interested in eating the seed end of the stalks.