If you're using normal models, yes, nodes can choose to log your requests and responses. But if you are using Tinfoil models, nobody can see your prompts, your requests are end to end encrypted to inside TEEs.
For normal models, redshift (npub1ftt…edsh) audits nodes based on web of trust and only those nodes are used right now. You can choose your own nodes you trust to not log your requests.
At all times, you are pseudonymous/anonymous if you always run in sandboxes.
