I agree with your sentiment, but I think most business would already fare very well with having someone structured with project management skills in significant leading position.
Without that, working as a programmer in such disorganized team, you will mostly spend your time working "against" them. It's like you are trying to glue things together and people will just go and and rip those glued together things apart constantly.
A random example: my SO often works with high-res photos of their products, and sometimes this involves modifying them to suit the random requirements of other businesses. Something I currently solve for her by running ImageMagick one-liners if she needs more than a few photos modified. A person with basic familiarity of shell scripting and CLI tools could improve their workflow and keep improving it on-demand, as the requirements change.