Ok, I think I have found the answer / solution by myself.
As I have stated out I had a lot of errors and warnings in the failover cluster log which you can access through event manager.
The next hint was this old technet post
https://social.technet.microsoft.com/Forums/en-US/e7e95c36-8f82-45b6-a88b-bdd423a4a1b5/access-denied-errors-api-sapiopenclusterex-failed-with-error-5?forum=virtualmachinemgrclustering
where Erland stated out that NT Authority\network service did not had sufficient rights.
I checked the properties of my cluster object from Failover cluster manager and the network service only had Read Access.
With the powershell cmd Grant-ClusterAccess "NT Authority\Network Service" -Full
(https://learn.microsoft.com/en-us/powershell/module/failoverclusters/grant-clusteraccess?view=windowsserver2019-ps)
the high CPU usage turned from clussvc to the WMI Provider. Putting both nodes then in maintenance mode for a few minutes and then let Health Monitor resume its work did the trick.
No high CPU usage anymore.
Regards
Dirk