If you move a project from one board to another, the previous activity log and be appended to, to show when it was initially created where, date moved to, who by etc.
Yes this is something we’ve got from a customer audit ISO9001 and ISO 27001.
We usually use the move to a board to archive tasks we have performed.
We can do an undo to retrieve all audit and check as well the audit of the board.
However, the audit trail shall be kept in the item entity and not in the board entity itself because if for some reason we decide to change our organization and remove the board where the items were originally created we lose all traceability.