So specific forms of anarchy such as anarchocommunism rightfully places the negation first. You have to keep stepping away from the structures and see whether they are doing what you want, and if (your perception of) communism doesn’t have the answers then you leave communism behind.

I think as long as the societal model is using the negative stance with concent there's absolutely no issue.

I could see ‘horizontalism’ being warped into a deference to peers - a lynch mob is a horizontal structure, after all. I could see it taken as a prescription to wipe out inequalities like talent or disability. I don’t know if these are fair, but I do know that if horizontalism became the dominant term then 100 years from now there will be people making these complaints. Because it is the nature of words to absorb the felt meaning of what they represent. There is a long list of words for mental disability that are now slurs or slurs old enough to be mere insults because people in the English-speaking world and elsewhere have been trained to feel revulsion at (mental) inability, and no matter how carefully a word is chosen it will absorb that vile intent.

To defend against warping, we need to be authoritative about language. When we see somebody abusing a term, then we should speak loudly and clearly against it. This is what anarchists does all the time. If somebody claims to be anarchist, but use exclusionary and xenophobic language, we would reject them. Or that's how it should be at least.

In fern to make it easy to defend against warping, we need to make it easy to use our language. Less academic words, more poetic words.

However, I don’t think one person behind a desk imposing a name on dozens of non-white ideological currents based on a western anglophone vibes-based analysis of their supposed shared concepts is a good starting point for reducing white supremacy or dismantling colonial attitudes towards non-white cultures and philosophies. If these currents even have any interest in being grouped together into a single worldwide term, then let them name themselves.

Fair.

I'll settle with that I'm comfortable with using the term myself.