Cloud Directory differs from Connect Directory. While Cloud Directory is AWS Managed and is like a Active/Domain Directory, Connect Directory is the connection to On Premise Directory. We don't need both of them. We can work with either.
If I delete a workspace any billed charges will not be returned. However if I launch a workspace after the 1st day of Month, then the cost would be prorated. So if I launch it on 5th Day for a $60 workspace in a month of 30 days I would be billed $(60/30*(30-11)) = $52 (10th day is included as full day).
Even if I delete all my workspace I can decide to keep Cloud Directory/Connect Diretory, I don't incur cost for it.
Thanks.