Voice coil size has little (directly) to do with performance. In fact, as voice coils get larger in diameter, flux density becomes harder to maintain.
As a direct example, all of the new JBL differential drive speakers (top of the line pro drivers, better than anything typically seen in the bass guitar market) use 3" diameter voice coils (2 of them stacked on a dual gap motor) rather than the 4" diameter voice coils on their previous pro designs.
Neo is the material the motor is made from, it has much higher magnetic strength per gram of material, which makes things possible that simply weren't using ceramic magnet motors. The smaller amount of material needed (like 10-20%) allows the magnet's geometry and position within the motor to be much more precise, with the magnetic slug typically located where the entire pole piece sits on a ceramic magnet motor. Because this slug fits within the center of the coil, and because of it's geometry, it's possible to lower the inductance which extends the high frequency response. This is the basis for why Neo speakers CAN be brighter, but this is only if the designer wants or allows it.
Cone control (potential, as there are ways to reduce this electronically) is all about the strength of the motor, and the strength of the motor is not directly related to voice coil size.
Thank you @agedhorse for explaining that. My thoughts were more about the size of the voice coil and rigidity and strength that it might impart on the cone through its physical connection to it. Not the magnet size or strength.