Given a different set of divisibility corrections, a new administration regime will need to identify its range of years as a different administration. This argues in favor of rezeroing. changing divisibility corrections is not a minor adjustment and continuing year count across the divide is misleading. The more regimes, the more need to identify them all and continuous years is not good for this.
The fact that in early regimes the difference is encountered in late divisibility corrections is not a geneal situation since in later regimes the first divisibility correction will be different. The feeling of continuity is not good to endorse. this supports rezeroing.
A year zero cannot be calculated as leap or common. Its omission may have been purposeful. In any case its omission in this type of system is correct, which argues against any conclusion that the calendar orders the real number line.