I am absolutely flabbergasted by the fact that people so intelligent like yourself would not be able to psych out even the fraction of the enigma here.
Set aside significance of your comments pertaining to religious/Islamic aspects of Burqa ----- Since I am not an Imam I am not sure whether it is Islamic for a Muslim woman to wear Burqa or not and I could care less as long as a Muslim woman is felicitously dressed.
However things as benign as Burqa, Burka, Niqab, Hijab, cloak or dress ----- what ever you would like to call it ----- are not yet considered as vistas of the future pertaining to security threats ----- but nebulously viewed as cultural leanings of an individual toward political and or radical Islam hence a would-be security threat is likely to come from such group.
Therefore ----- this ban rather seems an insidious plan to deprive those Muslim Women who choose to wear Burqa/Burka of their civil rights.
Nuff said!