This issue occurs when the MultisiteAssociationStatusSynchronizer is not running. This is responsible for setting the state of the multisite link.
MultisiteAssociationStatusSynchronizer should be visible as an active scheduled job on at least one cell of the Cloud Director.
For example:
Currently active scheduled jobs:+--------------------------------------+-------------------------+-------------------------+-----------------+----------------------------------------------+
| UUID | Previous Start Time | Next Start Time | Status | Job Name | +--------------------------------------+-------------------------+-------------------------+-----------------+----------------------------------------------+
| <SITE_UUID> | 2022-01-11 13:53:43.936 | 2022-01-11 13:54:49.829 | STATUS_QUEUED | MultisiteAssociationStatusSynchronizer