You're operating on the premise that language, especially the English language, is inherently logical though when in reality there are many 'rules' in English that are contradicted all the time. As I said, it isn't confusing in general either, from a native English speaker's point of view anyway; when someone comes up to me and says 'did you hear what they said?', I naturally assume that they're talking about one person if anything, not a group of people. Finally, usage determines a lot in language, that's how it develops in the first place; look at how the word 'literally' morphed to have an opposing meaning through usage alone - that would be certainly 'illogical', but it happened all the same, and you'd get very weird looks if you took the sentence 'I'm literally dying right now' seriously in the context of someone replying to a joke being made for example. The concept of gender neutrality is not a recent one, nor is it one exclusively tied to identity. If I as an author want to keep someone's identity a secret in a book, I would use they/them when referring to them, and no one would be confused because context is there to help out. If someone says 'I like Koto, they're a cool person', it would take a great deal of willful ignorance to somehow be surprised that the sentence is referring to a singular person. In fact, I've been confused when people say 'he/she' when they don't know someone's gender, as not only is it an unfounded assumption, but it also requires more effort to both say and type than 'they' while achieving the exact same result. It's hard not to feel that those that reject 'they/them' as singular pronouns, while undoubtedly using it as such on occasion, have an ulterior motive that's masked by an appeal to language rules that don't support their claims.
Edit: Because I'm petty, here are a couple examples of you yourself using they/them singular:
'A person that has these 3 types on their tri-type are quite likely to be introverted, and if these are the 3 types they relate the most (regardless of tritype underlying rules of heart-head-gut) then it is imminent that they are introverted, otherwise it is just poor self-report.' Vendrah, Jan 12th, 2021
'I will wait to see if somebody else got the straight answer. If they don't, tomorrow or the other day I will state the answer and my answer to the thread.' Vendrah, Oct 23rd, 2020