You seem to be seeking some kind of AI proxy, I think you’re trying to anonymize your prompts. VPNs and Wikipedia are not ideal examples of this. But I will try to answer the intent of your question.
All AI as a service provider will log your queries. The only way to sort of anonymize would be to use someone else’s key/credentials. But that would just push off the logging to someone else. It’s like sharing out your Netflix password…
The only truly anonymous way is to run your own, by self hosting an open LLM, which is doable, yet much more complicated, and would not be as good as the current big company services.
It's not that much more complicated if you use something like "GPT4All". It even has one-click download of chat models, and local document ingestion. I know there are others, that's just the one I've used.
This doesn't appear to be anonymous, it requires you to enter an api key. The ideal method for anonymity with this would be a third party selling chat gpt API keys so chat gpt wouldn't know who owns it and the third party seller wouldn't know what you're inputting. If that's what OP is looking for anyway.