It would make sense if they had different codes referencing Adobe chimneys. It is a very different building material than traditional cmu chimneysI'd be interested in hearing from pros about adobr chimneys - with clay (or uninsulated steel) liners. Because the letter of the law would make that illegal, because straw is combustible.
I do see it's enclosed (straw in mortar, not seeing outside air), and not likely a hazard. But those who wrote the code did not think about this, I surmise.