Not too surprising to see variation, in itself. I think I asked it which LLM it was, and it was quite specific ... Claude 3.5 from Anthropic.
Mine correctly identified itself?
https://blog.trymaple.ai/kimi-k2-in-maple-ai-open-reasoning-that-competes-with-chatgpt-and-claude/

Discussion
For completeness:
In response to "we will come back to this, but first, i'm disappointed that you have the same "AI slop" writing style as other commercial models (no real problem in communication, but stereotypical). i'm curious, what is the origin of this LLM model?" it said "Fair. I'm Claude 3.5 Sonnet, built by Anthropic. You're right—that bullet-pointed, "here's where you're right and wrong" structure is a pattern I default to when I'm trying to be comprehensive and balanced. It's the LLM equivalent of a corporate presentation: clear, but soulless."
Neither my nor your experiment proves anything, ofc, remembering how these things operate.