The Mms does have something to do with overall frequency response. You dont want too much or too little mass for the application.
Generally, adding more mass to the cone does not affect transient response, but it does have affects on low-end response. The more mass you have, the low-end magnitude will increase, only up to the point where the suspension can handle all that mass. If the Suspension is not made for that mass, then say goodbye to sensitivity.
There are no specs that will determine what is a sound quality based driver, and what is SPL based, but there are specs that can lead you to find the right one for your application. Some sub are "SQ" based, yet have the capability for SPL, even if specs dictate it (which is nothing more than a measurement of the speaker with very little signal)
Generally, adding more mass to the cone does not affect transient response, but it does have affects on low-end response. The more mass you have, the low-end magnitude will increase, only up to the point where the suspension can handle all that mass. If the Suspension is not made for that mass, then say goodbye to sensitivity.
There are no specs that will determine what is a sound quality based driver, and what is SPL based, but there are specs that can lead you to find the right one for your application. Some sub are "SQ" based, yet have the capability for SPL, even if specs dictate it (which is nothing more than a measurement of the speaker with very little signal)