You've got two companies that basically built their entire business upon stealing people's content, and they've given you a piece of paper saying "trust me bro".
Digital sovereignty and respect for privacy and local laws are the exception in this domain, not the expectation.
As Max Schrems puts it "Instead of stable legal limitations, the EU agreed to executive promises that can be overturned in seconds. Now that the first Trump waves hit this deal, it quickly throws many EU businesses into a legal limbo."
After recently terrifying the EU with the truth in an ill-advised blogpost, Microsoft are now attempting the concept of a 'Sovereign Public Cloud' with a supposedly transparent and indelible access-log service called Data Guardian.
https://blogs.microsoft.com/on-the-issues/2025/04/30/europea...
https://www.lightreading.com/cloud/microsoft-shows-who-reall...
If Nation States can't manage to keep their grubby hands off your data, private US Companies obliged to co-operate with Intelligence Apparatus certainly won't be.
+1 for honesty and transparency
Audit rights are all about who has the most power in a given situation. Just like very few customers are big enough to go to AWS and say "let us audit you", you're not going to get that right with a vendor like Anthropic or OpenAI unless you're certifiably huge, and even then it will come with lots of caveats. Instead, you trust the audit results they publish and implicitly are trusting the auditors they hire.
Whether that is sufficient level of trust is really up to the customer buying the service. There's a reason many companies sell on-prem hosted solutions or even support airgapped deployments, because no level of external trust is quite enough. But for many other companies and industries, some level of trust in a reputable auditor is acceptable.