Nope. You apply voltage to a coil and the current it produces makes the heat. Higher voltage on a given resistance produces more heat.
The mAh rating of the battery just needs to be high enough to produce the desired current for an acceptable amount of time. All Lions are essentially the same voltage (coming off charge), regardless of the mAh rating of the battery. Higher mAh just means they can provide that voltage for a longer time.
I agree. For me, that 2.4 Ω coil on a fixed 3.7 volt battery won't please me, either. But it doesn't matter if it's a 350 mAh Ego or a 2600 mAh MVP set at 3.7 volts, it won't please me.
Changing the coil resistance used to be the only way to adjust the vape. VV and VW make that un-necessary, since you can control the voltage (or let the VW mode control the voltage for you) to get the current through the coil that makes the vapor you like.
Granted, there are different types of voltage regulation circuits that can affect the qualitiy of the applied voltage, and some say they can taste the difference, but it still doesn't matter if the battery is, say, a 700 mAh 18350 or a 3100 mAh 18650.
But put that 2.4 coil in a CE5 and in a Kayfun. Put them on the same source. Big difference.