(I repeated the sentence above, instead of using 'e', because I take the prenex to remain the in the expansion of 'lo broda cu brode ko'a e ko'e' to 'da poi broda zo'u ge da brode ko'a gi da brode ko'e'. Has there been any discussion or consensus about this?)
There has been discussion from time to time, I'm not sure about consensus. I agree with your interpretation. The term with {e} has the same scope that a term with {ro} would have in that position.