Seals signaled office
In early and medieval Japan, seals were especially suited to government and elite administration because they attached action to rank. A written hand could identify a person; a seal could identify an office, a line of authority, or an approved channel of action.
That distinction matters. A signature can be intimate and personal. A seal can be impersonal in a useful way: it can indicate that an action is valid not merely because one human wrote it, but because recognized authority stands behind it.