You guys aren't quite right, but the end result (and intention) is that the one 'number' doesn't tell the whole story. Even knowing a few 'numbers' won't tell you how the pickup sounds in your guitar, as the body wood, the pickup position (neck, middle, or bridge), and other variables all change the tone slightly.
Basically, you can have 42ga. or 43ga. wire wound to the same DC resistance, and sound different. The 43ga. may be 'underwound', and sound thin in comparison. That's because the 43ga. wire has a higher ohms-per-foot resistance, and just winding to a final resistance will give you a pickup with fewer turns.
The impedance of the pickup is variable across the frequency spectrum. The frequency where the impedance is the highest is the resonant peak. The higher the resonant peak, the brighter the pickup, all else being equal. But the resonant peak is inversely proportional to the DC winding resistance, so any pickup maker has trade offs and balances to consider.
There's more, but who needs to know it all? You can look up magnet type, inductance, distributed capacitance, and whatever else you can think of. It's fun in a nerdy way, but doesn't tell you what the pickup will sound like. You have to go with experience and some knowledge. You know what a PAF sounds like with Alnico II magnets and maybe 5,000 turns of 42ga. wire. Or you know what a Strat pickup with 42ga. wire on Alnico V magnets sounds like. Go from there.