Hi,
Thank you for posting in Microsoft Q&A forum.
When you recover site systems that run IIS and you configured for HTTPS, reconfigure IIS to use the web server certificate. Per my experience, yes, exporting and importing the ConfigMgr Web Server Certificate is supported in the approach you described. As long as the FQDN and IP address of the new server are the same as the old one, HTTPS communication should not break post site recovery.
For more information, please refer to: Recover a Configuration Manager site
Thanks for your time. Have a nice day!
Best regards,
Simon
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