It is suggested to use AAD connect and assign license to synced AD account for enabling Exchange online mailbox for that account.
But, it is suggested to let Exchange online mailbox use the Exchange online default domain (user@Onlinedomain.onmicrosoft.com) as email address. If you use the local domain name as an email address, there will exist a conflict when Exchange on-premises run again.
There will also exist a SPF issue if you use the local domain name as Exchange online mailbox email address without hybrid.
After Exchange on-premises back to running, you could delete the Exchange online mailbox, keep using Exchange on-premises mailbox, migrate it to Exchange online later. Or you could delete Exchange on-premises mailbox, then change Exchange online mailbox from "user@Onlinedomain.onmicrosoft.com" to "user@localdomain.com" after creating hybrid.
If the answer is helpful, please click "Accept Answer" and kindly upvote it. If you have extra questions about this answer, please click "Comment".
Note: Please follow the steps in our documentation to enable e-mail notifications if you want to receive the related email notification for this thread.