If you change watts, you do so by changing volts. If you change volts, you change watts. It really is that simple. Why the "variable" part of VV or VW is lost on those who have grabbed hold of the VW idea as being different and/or revolutionary is beyond my understanding. If with my VW devices I want to change the temperature, I turn a wheel or push a button to do so. If with my VV devices I want to change the temperature I turn a wheel or push a button. If you are chaging attys or carots 20 or 30 times a day, then you simply vape much differently than I do and I find it a little odd. I'm glad you enjoy so much hassle of changing attys and carotos so often, but I still think it's a little strange.
I think that because the circumstances where electricity behavior does not comply to ohms law are very rare and very specific. In fact, there are only three circumstances and I listed two of them. What's interesting is that you somehow think that a regulator of any sort changes the behavior of electricity and somehow creates an existence of a situation where PVs may be behaving exactly as if they were in use (at very very high voltage) at zero kelvin and therefore behaving outside ohms law. It simply isn't true, but you seem to believe it is. That, my fellow-ecf-er is fascinating. It appears I was right. You have crossed the rubicon.
Lemme break it down for you.
E (voltage) = I (current) * R (resistance) = 1 of the 3 variations of ohms law. ( I=E/R, R=V/I)
Watts and Voltage are NOT interchangeable becasue
P (power or watts) = E (voltage) * I (current)
Watts is what determines how hot your coil burns.
If you have a 1.8 ohm atomizer and put 4 volts on it, it is going to draw about 2.2A and produce about 8.9 W. Now if you change your atomizer to a 2.4 ohm on the same 4 volts, it is going to draw about 1.7A and produce 6.7 W which will produce less vapor and be a cooler vape compared to the same volts on the 1.8 ohms. Which is why when you change to higher resistance atomizers you need to increase the volts.
Now if you have a 1.8 ohm atomizer and set your mod to 12W, your going to draw about 2.6A from the battery at 4.6V.
2.4 ohm atomizer set at 12W, you are drawing 2.2A from the battery at 5.4V.
So by setting the voltage, your experience should be relatively consistent as long as you don't change resistances. By setting the wattage, your experience should be relatively consistent regardless of the resistance as long as your mod can handle the draws to provide the determined wattage. And I say relatively consistent, because things like the surface area of your coils and how much juice is in your mod will make a difference to a certain extent as well. But on a strictly formula/numbers basis, this is how it works.
So yes, by demanding an increased wattage from the same circuit, your going to have to increase your voltage, and yes by increasing your voltage on the same circuit, your watts are going to increase. But wattage is a measure, voltage is the electric pressure. Your battery supplies voltage at whatever you set it to, and the power being produced is measured in watts. When you set the watts, your circuit supplies voltage based on your resistance and amperage to obtain the desired wattage.