Apple uses it for its iCloud Private Relay service. The blind token is used so that Cloudflare can verify that a given device pays for iCloud Private Relay without revealing their identity.
Attestation is when such a blind token is proving the integrity of the software running on the device, not proving arbitrary properties. Privacy Pass could actually enable a fast, semi-decentralized system of anonymizing proxies.
If Apple exposed the “is System Integrity Protection enabled” bit to the web, then that amounts to attestation to me. But yes, Apple can do this whenever it wants, and companies want Apple to do it, and it’s scary. They’ve already done this for Apple Pay, Widevine and HDCP.