You misunderstood me.
I was making the broad generalization that's very often true, and just pointing it out as usually being fact.
It didn't mean to use small 10" woofers!
If you take a look in most sub makers (both car audio and home) they often use the same motor system on more than one size.
Example: 10", 12", and 15"
15" and 18"
18" and 24"
Particularly for the value products the smaller woofer cone size and mass is more easily controlled so those drivers have a better transient response than the bigger versions. Transient response is a byproduct and area of concern of how "fast" a sub sounds. Another word is "tight"
But if im being honest I hate both those words.
Like I said just because this is all true doesn't mean you could not have a purpose specific exception where the bigger woofer had enough motor ratio to control that mass and cone. The only problem is its $$$ so it's rare.
I think even the 24" shares the motor of the HST18.
Model them in a horn or ported or ultra smal box you start to see some differences. Speakers about about application so as long as you match the driver to the design and play to its strengths it's going to work well. Everyone knows the 24" can kick some butt. Well everyone except the speaker wire stand crowd