> UN predicts Algerian TFR to decrease very gradually towards 2.0, and their population to stabilize at ~67m about 2080

Algerian population may stop growing by 2080, but mostly because of emigration.
And France's population is likely to stabilize because of [patriarchal] immigration.

So Algeria and France may become somewhat equal, but not because liberal France can maintain its' population, but because France will become more patriarchal.