The core of this is not a problem of fixing some naming convention (like leap years), but to actually disturb the measuring of time for a sake of making idealis

The core of this is not a problem of fixing some naming convention (like leap years), but to actually disturb the measuring of time for a sake of making idealistic views of solar system dynamics the canonical time source. If you measure c during this "correction", you are expected to believe that it is smaller (in fact arbitrarily) for this one replication of the experiment!