Well my question is do thicker gauges require less ohms and/or more volts than my v5 can achieve?
Thicker gauge wire is used to
create lower resistance
coils, because doing so with thinner gauge wire would eventually result in no wraps at all.
Examples: 30 gauge @0.5Ω would be 2 wraps. 32 gauge at 1.0Ω would be 3 wraps. Not much for good surface area/heat concentration optimization.
With lower resistance, the mathematically proportional prime requirement for a unregulated battery or regulated output is continuous current drain capability.
The idea is to optimize surface area for the current output and target resistance. If we want a surface area greater than 7 wraps, but due to physical confines, can't go any greater than 11 wraps, then for our target resistance - say, 0.8Ω on a 2mm mandrel with 3mm leads - we want 25 (10 wraps), 26 (8 wraps) or 27 (7 wraps) gauge wire. The actual wire thickness also has a bearing on coil OAL.
If we go with a lower resistance, then we need thicker wire, or dual or quad
coils... or both. Thinner wire... higher resistivity, per inch/mm. Thicker wire, lower resistivity.
With your Vamo, you're limited to a 1.2Ω spec. Too bad really, there's amp potential - if I'm reading specs correctly and the 4-5 amp regulation is accurate - for a lower resistance.