It does read "not exclusively" which means "here are some examples of those who do, and this list is not intended to be exclusive".
If you start adding to it, it becomes pedantic and ridiculous.
If you make a blanket categorical statement, then you would need to prove that that was valid.
Let sleeping dogs lie. 
It makes the point it needs to make, namely, "Allah" is not exclusively Moslem, and people should stop having a heart attack if someone mentions "Allah".