I know we jest with the unicorn comments but we have to understand we are dealing with specific limitations in order to keep a vape device marketable in terms of cost, size, functionality and efficiency. That is not to say there are poor designs out there, but many employ a design limitation for a reason. You can take an input voltage range of 6.4 to 8.4 volts (dual series mod), and generate ~24.5 volts through a boost converter that is needed to run a 3 ohm coil at 200 watts, but what components are required to perform such a task and will the final product still be marketable in terms of size and cost?
I would like to draw a correlation with audio power amplifiers. In order to achieve a linear output, an audio amplifier should double its power output with each half of speaker impedance. So a 50 watt amplifier into 8 ohms should output 100 watts into 4 ohms and 200 watts into 2 ohms. Many consumer, even professional amplifiers are unable to achieve this, some struggle with a 4 ohm load and many just give up the ghost with a 2 ohm load. Why is this when speaker impedances fluctuate across their audio band? It is not because this design objective is unobtainable, but because the designer made a choice to sacrifice a linear output for say cost, efficiency or even form factor (size). One can purchase amplifiers that double their power output for every half of speaker impedance (even with both channels driven), and are stable down to a 2 ohm load - but many of these amplifiers cost the same as an average car and require a team of professional wrestlers to carry the behemoth into your listening room. It’s all relative of design, and if you want something small and inexpensive, you are limited with what speaker you can use with it.
Keith Bontrager, a key figure in the bicycle industry, came up with this quote in terms of bicycle design – Strong, Light, Cheap…you can only pick 2 when designing a bicycle. This analogy, although by changing the wording to a degree, can be applied to many industries.
I'm not sure it's even practical to build a 3 ohm coil that will take 200W. At any rate, any wanting that kind of power that experienced mechs will try to use .05 ohm or something. Also nickel wire for TC is super low resistance. The possible range is far wider than the audio amplifier analogy. Regarding which, why have an amp that produces maximum power at a load that few will use? It will have to be a large amp to have enough power at 8 ohms too, although you exaggerate, I just took a Adcom GFA-555 off the high shelf by myself yesterday.