Another thing to consider with the BP-100, and the Underwood as well, is these pickups were designed when bass players almost universally used amps with large, dark-sounding woofers such as the Ampeg B-15. These amps typically had bumps in the low mids and then rolled off pretty fast above there. Two and three-way cabs for bass players were all but unknown in those days. Very warm, bottom and low mid heavy amps were the rule. The Underwood and later the BP-100 actually sounded pretty good for their time through those types of amplifiers, and they were certainly a great improvement over most of the bass pickups that were previously available.
Long story short, using a BP-100 with a full-range speaker such as a two or three-way design, is probably not a good match. Any speaker cab with a bump in the upper mids (fairly common today) is probably going to sound less than great with the BP-100.
Although there are arguably better pickups available today, many veterans continue to use the BP-100.