The messaging could be more clear, but is this substantively different from how search queries are handled when DuckDuckGo forwards them to Bing? Bing doesn’t know who made the search but could log the query itself.
Well it's a big deal to me. OpenAI have not conducted themselves in a way that makes me want to share my search intents with them, and I don't care if they or DDG tell me that what I tell them "won't be used to train AI models".