Re: 2004 2.3 with the P2004 code
The high resistance can weigh down the coil, but the 12 volts is on the supply side of it, that. I'd think, should stay constant. Once energized, a coil requires a certain amount to charge (we're talking milli-seconds), which is why a high performance engine that runs at a high RPM requires a high energy coil. a weakened or overloaded coil won't be able to meet the demand required of it, much like a stock coil would in an engin we all dream about owning.
As another though, where are you measuring the 12V? most components have 12 volts applied to them all the time, the PCM closes the neutral. if you are measuring the ground line back to the PCM from the component, the line will give you 12 volts. Once the PCM energizes it, the 12 volts goes away as you're now reading the ground side of the component.
All this comes to this answer: Possibly. If you happen to be reading the controlled ground, the 12 volts will go away when the PCM calls it into play and bad wires could be your problem.
'Scuse me, while I scrape this Honda outta my treads.