This method reminds me of the Bechdel test, which produces interesting data that is not necessarily definitive. DS9 was the only Trek series in which the bridge and the command crew was not conceptualized as the primary setting. The promenade was far more important. Moreover, Brooks was good at grunting: that's a lot of acting that may not require any lines. ETA: the complexity of later scripts also meant that secondary characters were often used to give the main actors a break.
Overall, I tend to think like WarpCore: Archer got more lines than other character. However, showing this to be the case requires more attention to episodes like Strange New World, where Bakula is speaking lines that should have gone to Billingsley.