In social sciences many kinds of rates are estimated but they rarely permit a true international comparison due to the effect of time, space, etc. For example, for internal migration only instantaneous rates of changes of residence are comparable. It will be useful to see in other domains which are the rates that permit an international comparison.
Yes, I agree with you that many derivates of vital statistics may be comparable internationally, like the TFR, and that the annual probability of changing residence, which can be drawn from population registers, is of the same kind. Unlikely, the single index k drawn from census data (see Courgeau, Muhidin, Bell, 2011 given in previous answer) does not have the same intrinsic or plain language meaning. As Bell and Muhidin (2011) said: k is not directly interpretable as a demographic indicator in the same form as the total fertility rate, the life expectancy or migration intensity.
However, such cross-sectional indices, which compare two countries substituting their true structures by a standard one, introduce an arbitrary in this standard which may lead to incorrect conclusions (see, Henry, 1972). Only a preliminary longitudinal analysis may permit a more precise answer.
References:
Bell, M., Muhidin, S. 2011. Comparing internal migration between countries using Courgeau’s k. In Stillwell and Clarke eds., Population dynamics and projection methods, Springer.
Henry, L. 1972. Démographie. Analyse et modèles. Larousse.
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