Actually everything plays a role. Nichrome tastes different than kanthal (at least until they oxidize - kanthal a-1 alloy oxidizes faster than all of the other alloys and is the most durable), Stainless mesh tastes different than fiberlass or ceramic wick too (woven wicks can also clog faster if not used with enough coil heat).
The air plays a major role. Air flowing directly over the coil on the way to the mouthpiece increases flavor unless the flow is too much, then you get alot more vapor, but less flavor. Of course how much heat the coil produces changes how much air you need to flow over the coil as well. A cooler coil requires less air to get the same flavor and vapor than a hotter coil does. This is why high voltage vaping produces the big clouds, flavor and nicotine hit. But if you make your coil, airflow direction/volume and wicking capacity right, you can definitely get the same feel using 3.7 v but it's a little trickier because everything has to be just right.
This is the reason some people get rebuildable atties working great right away and also why some people get consistent results while others get a really good setup and then the next rebuild is not as good then a terrible one then a great one, etc. It takes some practice to get a "feel" for it and to be able to just whip up coils without using your ohm meter and calculator, but if we keep at it, in the end we can all develop the skills to quickly make a coil/wick combo that works for us in just about anything we can build or re-build. Some people don't like to do the practice part, but I really enjoyed it and am now reaping the benefits of freedom from China made vaping tools

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You can make just about anything vape the way you want it to given enough tool time on it
I hope this helps, I tried not to be too long-winded or technical in the explanation.