@br3098
In general, you are correct that a smaller driver is normally faster than a larger, but as I stated, A Properly designed driver:
Mass is not always an issue, understand that adding mass increases qms/qts, adding mass decreases sensitivity... If you add a softer material, you'll find a more rolled off frequency, if you add a hard material, you'll find extended frequency response, The material added matters as well as if you coat the entire cone or add to the dust cap or even the rear of the cone.
I'm really not stating an opinion. I've proven many times that a properly designed larger driver can be as fast as a smaller driver.
I'm not sure what you mean by "over-driving a cone" but proper cone, voice coil, excursion limits and even dust cap can produce a larger driver that extends well into the midrange, no doubt, depending on the final speaker design, you can certainly have beaming or lobing effects. but I have built and know where a set of speakers are right now that are a 15 inch 2 way that do a great job, all drivers are custom modified for a natural rolloff at 1800 hz and when set up correctly, they are excellent.
Your overall premise that a smaller cone extends frequency smoother than a larger cone is correct.