If you mean from another device other than one that your keychain is on, ie, a browser on a device you haven’t logged into before, you can’t.
You can get an active location through iCloud if the device is powered on or its last location before power off if the setting is enabled. But you can’t decrypt find my location reports without the private key, which is only available in devices you’ve logged into.
So you're saying that by logging into icloud.com and clicking on the "Find My" app, my web browser is downloading encrypted location reports from Apple's servers, and my web browser is decrypting them locally?
Where would this private key be coming from when opening Find My on icloud.com (a website)?