Be careful with that. More wire means more resistance means lower temperature or a longer time to reach vaporizing temperature.
Each inch of wire adds X resistance. A thicker wick means that each coil is longer. As in "one inch of kanthal" may only get you 1-2 coils instead of 4-5.
Practically speaking "more coil AT TEMPERATURE in contact with the wick" means more vapor. Doesn't matter if that's a bunch of small coils or a couple of big ones. An inch of kanthal is an inch of kanthal.
If you've got a Z-atty on a variable voltage device you can use more wire, and then run it at a higher voltage to get to your desired temperature.
If you've got a mechanical device, 'real' zen, or z-atty on a mechanical mod, the voltage you're getting is 3.7 from your battery. Once you've found your 'sweet spot' in terms of number of wraps... the right thing to do is actually unwrap it, measure it, and then use that same LENGTH of wire on your thicker wick.
Edit:
The proponents high voltage vaping get 'more vapor' by using more coil at a higher voltage to produce roughly the same temperature across a larger surface area of wick (and thus a larger amount of juice vaporizing in the same period of time.)
Personally... I can get ample vapor from 3.7V. You just have to be careful to keep the resistance of your coil 'in bounds.'
On a VV device you can just keep turning it up until you like it.
Edit2:
Battery life has to do with current draw. Producing more than 3.7V from a 3.7V battery (VV or VW device) draws more current. Lower resistance draws more current.
Edit3:
The 'best' vape is the one you like. The best battery life is going to be natural battery voltage with as much resistance as you can handle. Lower resistance = more current = shorter life. Lower resistance = higher temperature, shorter time-to-temperature, and (within reason) a better vaping experience.
In the spirit of 'just vape it'.... Use what you've got. If you've got a VV device keep turning it up until you're happy (and stop there!)
If you've got a mechanical device wrap a few more coils than you think you really need. Start taking them off one by one until you're happy with the device.
Edit4:
I've seen a few people talking about 30ga and 28ga kanthal (Zen ships 32). Thicker wire has less resistance IN THE SAME LENGTH. That means you can use more wire and end up with the same resistance. If you use the same number of coils you'll have less resistance. Lower resistance means more current means more battery drain.
Conservation of energy, folks

. A battery only has so much. If you pull more energy to heat more vapor the battery will last less long. Find what makes you happy and use it.
Also... batteries have a maximum discharge rate. Pulling more current than the battery is rated for is VERY UNSAFE. A protected battery won't let you do it. An unprotected battery will... end up failing, disastrously. And hopefully not taking your face with it.
There's a damn good reason that Provaris error out if they detect less than 1ohm of resistance. There's another damn good reason why most VV devices don't go above 6V. You can only get so much current out of a battery safely.
Edit5:
I've been ignoring thermal inertia. (
Volumetric heat capacity - Wikipedia, the free encyclopedia) Bottom line... more coil is going to take more energy to heat, even at a higher voltage. Yes, you can calculate voltage/resistance and arrive at watts. But it's not watts that matter... it's watts converted to heat APPLIED TO JUICE. And that introduces the variable of time, as well as fun concepts like 'specific heat' and thermal inertia.
Bottom line... more material means more time to achieve your desired temperature, even if you crank your voltage up appropriately.
The original advise I gave (take the coil you love on your thin wick, measure it, use the same length on your thick wick) is still good. Same length = same material mass = same thermal inertia.
Introducing thicker wire in a longer length, or introducing more wraps but running at a higher voltage, you're going to bump into thermal inertia. Within reason it may not be noticeable, but if you start dealing with a lot of wraps of 28ga you're going to have to trigger your device and pause noticeably before inhaling. (even if you calculate it out such that more/thicker wire is the same resistance as your thinner wire running at the same voltage)
The opposite is also a problem. A very tiny coil of a thinner wire is going to have very little contact area and while wonderfully efficient at vaporizing juice... it won't vaporize very much of it.
More material (via thickness or length) means you have more "lost" energy to inertia, which means more time between hitting the button and getting vapor all other things (resistance, voltage) being the same.
Edit6:
In response to a PM...
No, that doesn't mean that 34ga or higher is necessarily a good idea. Thinner wire is more fragile. You'll pop a LOT more coils. Thinner wire has more resistance. That means you have to use LESS of it to achieve the same temperature in the same time period at the same voltage. Less wire means less surface area in contact with the juice, means less vapor in the same period of time.
And back to Ohm's law... yea, you could have a more coils of a thinner wire to achieve the 'same' surface area. But then you'd have to run it at higher voltage to reach the same temperature. And then you're right back to draining your battery faster.
Bottom line... conservation of energy. It ALL BALANCES OUT. You can't hack the laws of nature.
Practically speaking...
Thinner than 32 is fragile, and can end up requiring very high voltage to achieve a reasonable amount of surface area in contact with the wick.
Thicker than 30 and resistance is so low that you've got to use so much more length (of a thicker wire to start with) that thermal inertia can start being a problem. (Yes, you can overcome thermal inertial with MORE POWER... but then you're starting to deal with dangerous levels of current and thrashing your battery life)
Anywhere in the middle...
Wrap one more coil. Wrap one less coil. Bump your VV device up a little. Play around until you get what you like. Then just vape it.
(does that mean 34ga or 28ga is a bad idea? Meh, not really, unless you start playing around with 'extreme vaping'. Within reason it's all roughly the same)
(So what does that REALLY mean if I've got a skinny wick zen that I love, and I am now one of the lucky .......s to get my hands on a 'fat wick' zen? It means you should unwrap the coil you love, measure it, and use the same amount of wire to wrap your big fat wick.
... just vape it. You can't hack the laws of nature, and there is no 'optimal' configuration. Voltage and resistance are only part of it. Thermodynamics are only part of it. Juice ingredients are only part of it. Gunk build-up on your coil is going to change all the equations once you've vaped half a tank anyway!)