That linkage never occurred to me, or, I suspect, them. Claude use to be a reasonably common name. I have an uncle Claude. Why do you believe they named it after Shannon in particular?
https://britannica.com/topic/Claude-AI
Looks like the 2023 NYT article started it, and it uses this as reference:
> depending on which employee you ask, was either a nerdy tribute to the 20th-century mathematician Claude Shannon
Personally I always associated it with the silent protagonist from GTA3.