I did not ask to sync [Draft],[Sent],[Deleted], but ok if that is requirement.
It's not a requirement, but I assume that most users would want to keep those folders in sync between their Android devices and/or desktop mail apps and/or web mail.
You can turn off sync of server side "special folders" in the account's options and folders -> folders.
Just tap server side "Deleted" (whatever it's called) and change "Sync with [ Deleted ]" to "Do not sync".
When [Drafts], [Deleted] in AquaMail do not sync wih the server, they will only show when they have messages (that is, local, on-device messages).