In general yes, you're correct but obviously there are other factors.
I can build a .2 ohm coil with 22g or with 24g due to number of wraps and coil I.D.
Also keep in mind thicker wire will have a higher ramp up time but may be easier to deal with as it's more sturdy. Won't move around while fiddling with the coil or wicking.
Thinner 32awg wire = Single Drive Lane each direction on a residential road with lots of houses - can't move much traffic, more cars on this road equals a bottle neck and traffic jam = high resistance
Thicker 24awg wire = 6 lanes in each direction super highway = can move massive amounts of cars at one, less bottle necks and traffic jams = lower resistance
electrons which are the cars in this analogy which is what we are moving.