The Cycle: Incremental Backup > Preparation > Restoration > Incremental Backup

In short, is it advisable at all, to merge a full-prepared backup (CB1) with the upcoming incremental backups (IB4, IB5 and so on)?

If so, can we consider this composite backup (CB1) as full-backup and just repeat the process of merging them just like we do it for the first time? Or there is some other way to do this?