It Only Works with Safari
Unlike a traditional VPN, Apple’s Private Relay only works with Safari. While this does include most apps that provide an in-app browser, it doesn’t do anything for other types of connections, whether those are from third-party apps or other browsers like Chrome or Firefox.
This means that if you’re primarily a Chrome user, then it’s basically pointless to enable Private Relay, as it won’t do anything for you at all.
On the upside, this does provide a simple way to check if Private Relay is behind any browsing problems you may be having. If you can’t access a website in Safari, or everything seems to be dragging, try another browser like Chrome. If it works there, then Private Relay is the most likely culprit. If it doesn’t, then you may have other problems with your network connection.