My experience is that LF in small drivers (usually boxed in thin, tall elegant floorstanders) sound boomy and distorted at the low end of the bass response when compared to a very high quality 12" or 15" woofer.
A high quality large bass unit requires a huge magnet and is much more expensive to build than a little 6" woofer; not only is the larger magnet expensive but also the design requires a separate mid range driver rather than a simple cheaper two way design. A large woofer can't do the all important mid range very well even if it excels at the ultra LF. A small 6" driver can make a reasonable attempt at ultra LF and is well suited to the all important mid range.
I suspect that cost cutting to meet price points by manufacturers on these speakers with larger drivers may explain the generalization of "tighter" bass found with much smaller (and cheaper) bass/mid drive units in the ever-so-popular thin and tall speakers. At the same price point the small driver (cheaper design) may win out. This logic means that most manufacturers prefer to add several cheap 6" woofers to boost LF and make a very competitive alternative to a very costly 15" woofer design. In response, a manufacturer's design for a large woofer often uses a very cheap and poor quality bass driver in order to compete with the above price point; this means the design does not yield the expected LF improvement from the larger woofer (even though physics favors the large woofer).
In essence a small bass/mid woofer in a cost effective two way design will be better than a large bass woofer in a cost effective three way.
However, a very high priced, high quality large woofer design will generally sound better at LF than a very high priced high quality little woofer design. Although the cost of building a high quality large woofer design is obviously much more than the popular smaller woofer speaker design.
The logic for a sub wooofer is even clearer.....a large expensive woofer design will beat a small expensive woofer design hands down...simply because the physics heavily favors larger drivers for low distortion ultra LF.
In mid price level speakers ($5,000 and under), I would tend to go for small (6" or 8") woofers over large ones for better bass.
In a cost no object speaker system, I would never hesitate to go for large (12" or 15") woofers...the improvement is easily audible.
...just my two cents.