Reviews for this keep calling it a draw card, and it just isn't. It costs 2 to draw and play this, which you could have just used to draw two cards the regular way. (This isn't quite true if you draw it using some other effect, but even then it could have been some other card).
The trade-off for this card is therefore that it moderately delays your draw in favour of making it slightly more filtered. That's, erm, only very slightly better than nothing. Then again, it is better than nothing, which made me think BbD would be an auto-include for most crim decks when I first saw it. Why wouldn't you want free filtering, and an effectively slightly smaller deck to boot? The answer is that the delay to your draw is more noticeably annoying than you'd think. Starting your turn with BbD in hand, or drawing into it, effectively means it will cost you a to see your options for the turn, and although it's paying for itself in terms of long term economy, it's making your short-term options more of a faff. In a game where a single can make the difference between snatching the winning agenda and not, the negative impact of this card is far more memorable than its benefit.
That said, I think there's a more human reason why BbD isn't seen more often. Keeping runner decks down to size is hard. If your deck is 42 cards + 3 BbD, the odds are you can think of a ton of other things that can go in those slots. Although it's a valid argument that small decks are good, so a virtual 42 cards is better than an actual 45, in reality it's psychologically difficult to devote three slots to cards that do little more than replace themselves when there is so much cool stuff you could be playing instead.