So just my 2 cents: I also have an immediate "ick" reaction when I see the vibe-coded aesthetic of the website itself, expecting the worst, as well as serious ethical concerns about using LLMs at this point in history. Luckily in this case, it also was (somehow) immediately obvious to me that actual thought was put into the language, so I was willing to take a closer look to see if some genuine effort was put into it.
But be aware that a lot of people won't be willing to do that. Based on my experience in proglang chat servers and fora I'd say that most of the people with the niche interests most relevant to you (deep dives into non-standard ideas for proglang design & implementation) are in that subgroup. Especially the ones with inspiring ideas and knowledge to share.
Beyond expecting honesty about the usage of LLMs I'm not going to say anything about whether you should use them to develop your langoage or not, that's up to you. But I'd strongly advice for avoiding it in the presentation side of the language (website, whatever) at all costs, because it will get in the way of connecting with your potential audience more than it will help.
To give a point of comparison: you are undoubtedly aware of the issue that popular open source projects have with slop PRs? One problem is that it is so much harder to to see where the LLM output ends and where human effort starts. And the last part is where the actual conversation takes place! Having to filter for that is just exhausting and starts to feel disrespectful.
When I'm reading your language I want to read the part of it that is your language, not the LLM generated bits of it. The LLM aestetic and writing style of the website is an extra layer between me and your thoughts, and it's distracting the same way a chain smoker's body odor is distracting to non-smokers despite being oblivious to it themselves. If this is a language you're passionate about, and it looks like it, then I'd say it deserves better than that.