Hmm, I just tried with ChatGPT 5.6 Luna “Generate a D&D character for me.”, and got:
Kael Thorn half-elf ranger
Kael Emberstep tiefling rogue
Kael Veyrin, tiefling warlock
Claude Sonnet 5 seems to like half-elf rangers more, although has slightly better first name diversity:
Kestrel Ashwood Half-Elf Ranger
Kaelin Duskwarden Half-Elf Ranger
Kael Ashgrove Half-Elf Ranger
I don’t see sufficient reason to believe this or other common LLM names like Elara Voss are due to watermarking in particular. Isn’t it more that LLMs are just generally bad at making random decisions? See for example https://www.lesswrong.com/posts/t9svvNPNmFf5Qa3TA/mysteries-of-mode-collapse and https://maxread.substack.com/p/who-is-elara-voss
With features like memory and cross chat history, getting identical prefixes across accounts might be difficult. And isn’t username part of the context too?