Yes, I too thought the name 'Acadian Coast' was a little misleading.
In the case of my relatives (i.e., the Doucets), instead of being deported, they 'ran' away to the coast of northern New Brunswick to eventually establish a new settlement called Petit-Rocher,NB (~1797).
So yes, adding 'Louisiana' would definitely help differentiate (at least in my mind) the different groups!