Broken management of Defender EASM via Azure Lighthouse

We try to manage Defender EASM from a customer using Azure Lighthoure.
We have Contributor Rights to the Customer Subscription using Azure Lighthouse ARM Template.
Everything in the Customer Subscription can be managed fine, but management of Defender EASM is totally broken when being managed via Azure Lighthouse.
Sometimes we get the message that we do not have access to the ressource.
Then we click on our own Defender EASM Instance in our management resource group and then click back again on Defender EASM in the customer Defender EASM and then it works! Totally strange.
However in the defender EASM overview and also other menus we see strangest errors (empty field, 0 assets, "Malformed Query" when visiting the EASM Inventory.
This problem is not tied to a particular customer tenant, but is fully reproducable also with other customer tenants. We get the impression that Defender EASM is somehow incompatible with Azure Lighthouse.
Any hints on what to do?