Also, supposing I have a base backup image of the whole disk, together with several incremental backups, if I were then to create a new differential backup using this same original whole disk image, I think it would be safe to discard the multiple incremental backups made before the last differential one because I could now use the last one and the original whole disk image as a complete set.
The interim increments were useful and efficient to make for a period of time, but after a while I can bypass them completely with a new differential based off the same original. Is that not so?