A few years ago I joined a company with "self-organizing" teams, which have many similarities to "structureless".
It was an awful experience, for me at least. Many important choices were made by people trying to avoid ruffling the feathers of the least-mature team member.
My woes were likely compounded by being mildly affected by Asperger syndrome: First, I have an innate preference for clear organization and structure. Second, it took tremendous mental/emotional energy to navigate the social/interpersonal minefield tied to every technical decision.
Perhaps my experience was unusual, but I cannot understand the thinking that leads upper-management to think this approach is a good idea.