I'd have to disagree. Example. You have 500 watts from alt battery etc. The connect from Alt to battery has poor wiring is does amp to battery and battery to ground. Because the amp can't pull 14.4 volts or enough watts as it is an underpowered system more current is drawn from the power source and more power is lost through resistance as heat causing your headlights to dim. However they don't dim serverly because they are using 10ga wire to power them properly, which matches the resistance in the wires to your amp. So teh headlights are pulling 110 watts and your amp is only able to pull what it can and is underpowered making it less efficient and unable to pull its maximum load.
So you upgrade to 0ga and do the big 3, now your amp is able to **** all the power it needs from the alternator because there is very little resistance, and even though your losing less power through more efficient voltage to the amp, and especialy due to less resistance in the lines, the headlights and their wiring now have much more resistance than the power lines feeding your amps. So when the bass hits, the power drawn by the amp is utilized before the power drawn by the headlights, making the dimming worse. Of course, your still one step closer to correcting the problem, (underpowered alternator), and are operating more efficiently wasting less power. At least your stereo is louder now //content.invisioncic.com/y282845/emoticons/smile.gif.1ebc41e1811405b213edfc4622c41e27.gif
However this is generaly not the case, usualy the extra power saved by upgrading can stop the dimming of the headlights, but in certain cases it can make the dimming worse.
Now if you saying amps defy physics and electricity will suddenly flow in the path of greatest resistance then I'll have to take out my Magic Flux capacitor and head back to the future with no passenger.