After configuring the an Access Template with the specific permissions, applying it to the relevant OU(s) and user(s), the permissions do not get propagate to the AD LDS instance even though the option ‘Propagate to permissions to Active Directory’ is checked.
This is by design. ARS does not officially support permission propagation to AD LDS instances.
An enhancement request (TF00462843) has been created detailing the feature.
The product team will evaluate the request and this feature may become available on a future release of the product.