I usually read through the whole of threads like this, in this case I haven't had time. Just sticking to an answer for the OP, it's pretty clear to me that there are those bassists who regularly enjoy full PA support and the services of a FOH engineer, and those who have to carry the whole gig from the backline.
For the former, I agree that dispersion isn't so important because you have already outsourced your FOH tone to whatever the sound guy wants to do with it (and anyway, a decent PA will have no dispersion issues from the audiences standpoint), so having a rig that sounds great when you are right in front of it may be all you need.
I am not in that camp. I'm in a decent hard rock covers band that gets PA support on the occasional festival slot we do, but otherwise we play in bars and clubs; we bring our own PA and mix from stage, so my rig has to carry the room.
At one of the pubs we play at, the landlord is also in a band. After our last gig he said to me "you're the only bass player we get down here where you can feel the bass in your chest and feet, but you can still hear every note you play anywhere in the bar without you being ear splittingly loud, how the hell do you do it?". I told him that I work hard at my sound....but the real secret is Barefaced.