Cloudflare provides content distribution (CDN), security and DNS services for web traffic to and from the services. The primary information Cloudflare has access to is information in and associated with the Algolia website URL that the end-user is interacting with (which includes end-user IP address).
Datadog provides log management for Algolia Services. The primary information Datadog has access to is indexing operations, end-user queries, end-user IP addresses.