A sort of rule of thumb is "loud, low and small, pick any 2". In your case, wanting loud output and low response, it's going to be a big box, whether it's a horn with 1 or 2 drivers in it, or a direct radiator with a lot of drivers in it. Most bass cabs are a balance of compromises somewhere in between the extremes. You can put stuff together that is small and plays very deep, but it's not very loud then.
Raw drivers have similair sorts of tradeoffs. Ones that are very high spl in the mids/highs won't have much lows. These LF type models that can play low and loud, have poor mid response and no highs, so they must be crossed over to another driver to play what they can't. Some "fullrange" drivers can have a pretty good balance of all 3, at least as far as a bass guitar is concerned, but won't be able to really excell at any one, at least not like the specific, purpose built LF woofers and smaller cone mid/high drivers.