It appears to already be far beyond that, they are working with each other[0]:
>ChatGPT, Claude, Grok, DeepSeek, Perplexity, Gemini, Copilot, Le Chat de Mistral and Meta AI filter your data to Google, Meta, and several of the main data brokers.
[0] https://jorgegarciaherrero.com/en/prompt-like-a-butterfly-st...
https://jorgegarciaherrero.com/wp-content/interactivos/20260... [PDF]