I have seen a lot of discussion about this in-game, too.
Added to my list of feedback.
I would like to see it only pop up when I first log in and don't have any missions active. As a "Out of stuff to do? try this!" reminder, it's great. Maybe instead of rehailing me, it could blink the "hail" button? I seem to respond well to those blinking indicators that "something up there needs tending to".
It definitely shouldn't be popping up unbidden when the quest giver doesn't actually have a next mission for me. (as the SB39 vulcan woman did to me the second time I logged in today).