What it means
In this catalogue it means a signup model without routine identity-document collection. It does not mean no personal data, no records or no legal responsibilities.
For hosting
Read the privacy policy, operator identity and support process. A clear limited claim is more useful than a promise of absolute anonymity.
What records still exist?
KoalaVPS does not keep logs of activities carried out on customer servers. Records needed for accounts, orders, payment reconciliation, support and account security remain separate. No-KYC concerns identity verification; it does not mean that no service records exist.