This clock should not loose time over is twin, if built and launched correctly.
Following, a short reflection on the time itself, I am pretty sure, that it can not be variable in dimension. The time is only a unit of measurement, and use like it, we must consider variable, only what it could be. In second, the geometrical space should be invariable. All this, for not achieving anarchy, in a system where there is no measurement units. Because, at last, its a matter of perspective. The old system could stay in place for a long time (until we clearly go over the light of speed...).
Ponpon, le chat