I thought I got LESS technical
(except at the end going back to the original question)
In terms of heat flux, the difference is huge, if 20W is good on the 1.8 then 20W into the 1.2 would be like 30W on the 1.8 which has that much more size to it, more wraps or whatever (in a dry burn test they'd glow the same redness with the different settings, that's "heat flux" in action). You don't think you would notice if you set that 20W to 30W? Especially if 20W was the right one? I adjust down into the tenths of a watt. But I'm agreeing with you that lots of things can reduce that difference in a vape. The atomizer and its settings combined with your technique has a big influence and in some cases will override the coil choice. The only difference that remains is that one is being overridden more than the other. In other cases, the vape would be more similar if the power was set different between the 2 coils, to compensate for the size difference of the coils. One making up to 50% more vapor, in that case, would be somewhat noticable. Leaving the power the same could result in the smaller coil burning, very noticable, or the larger one underpowered with considerable ramp-up, noticable.