So by the above comments, passive woofers in separate boxes, notwithstanding, I'm assuming you think that all passive speakers with 10, 12 or 15 in. woofers would not therefore measure up in terms of bass response to an 8 in. "subwoofer" with its own amp? Is everyone forgetting the early HSU passive subs that went as low as 18 hz(-3db)?
I'm sure those of us with IMFs, B&W 801s, AR9s, KEF 105s, 104s and many other large vintage speakers would also tend to disagree.
Any good quality passive 15 in. driver in a properly designed box will plumb the depths far more capably than nearly any equivalent-quality powered 8 in. driver I can name, save a few exotic and very costly designs with tremendous excursion capability driven by high-powered amplification.
Plunking a mediocre 15 in. driver into an incorrectly-sized box will never produce decent bass response. Anyone thinking of building such a subwoofer system should first map driver response parameters, then tailor the box specifications accordingly.