Curiosity about the differences apparent in thinner vs. thicker Ti1 led me to playing with the Steam Engine calculator. I decided to go to what I consider two extremes, 32ga vs 26ga wire. The controls I wanted were the same surface area (~100mm²), and the same heat flux (~350mW/mm²). A few surprises (to me, although I am sure a mathematician or electrical engineer has a rational explanation) are that both wires require the same 35watts to achieve that heat flux. The biggest difference is that the 32ga coil comes in at 2.3 ohms, the 26ga coil comes in at .29 ohms.
What did not surprise me was heat capacity, or the amount of mass that must be heated and must cool. The 32ga has a 11.63 heat capacity, while the 26 has a 23.32 heat capacity. In other words, it takes twice as long to heat up, and cool down as the 32ga. The width of the coils is a little different, 26 ga. requiring 8.84 wraps (9/8) coming in at 3.7mm wide contact, and the 32ga requiring 20.75 (21/20) wraps coming in at 4.4mm wide contact. Spaced coils were played with, but didn't really matter.
I then decided to see what effect these two coils would have on the battery life and amperage required. Again, surprisingly, battery life is exactly the same for the two setups at 171 "puffs" of 5 second duration.
What I cannot decipher however, is how the longer ramp up of 26ga affects battery life.
Everything else being somewhat equal, the amp draw on the 32 ga is 4.34, while the amp draw on the 26ga is 12.31. The only thing I can say about that is that you can use your old 10a batteries safely with the 32ga wire, whereas the 26ga clearly is going to need the better high amp batteries.
However, with the 32ga, I can make a DUAL coil setup using the same numbers, doubling the surface area to 200mm² and the effect on the battery is a 8.15 amp draw that will get me 86 puffs. Doing the same with the 26ga, results in a 24 amp draw. Not practical to try to achieve 200mm² surface area in most cases.
I have posted the two sets of charts below for your consideration. On both, the 32ga is on top, the 26ga is on the bottom.