Hi,
It should work when mailbox in non-Internet-facing site lookup free/busy request for o365 mailbox, the request will be proxied to the Internet-facing site to Exchange online.
On the contrary, for the issue Exchange Online users cannot access free/busy information of users in a non-Internet-facing Active Directory site, we will need to Export the federation certificates from the Internet-facing Exchange servers, and then import them to the non–Internet-facing Exchange servers.
Detailed information introduced in the KB.
And the Detailed process can be seen here: Demystifying Hybrid Free/Busy: what are the moving parts?
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