Although it is called Microsoft 365 Lighthouse in terms of technology this does not have anything in common with Azure Lighthouse. As far as I am aware the above is just some UI implementation:
"Microsoft 365 Lighthouse is a unified portal that helps managed service providers to secure devices, data, and users at scale for small and medium sized business customers that are using Microsoft 365 Business Premium. It simplifies onboarding of tenants by recommending security configuration baselines optimized for SMBs and provides management views across your customer environments."
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