OK, so if you get the red logo when using the stock cord and stock power adapter, but no reaction from the "fashioned" cord, then I'm guessing it's fashioned "wrong".
And when you plug the stock cord into the PC and get solid white, it's definitely putting power to the phone, but not fast enough to surpass the rate of consumption by the phone itself. This will not work. The only time the battery is actually receiving a charge is when the white light is OFF, and you are either in Charge only boot mode (animated battery on display), or the phone is completely powered on and plugged in, and it shows as "charging" on the lock screen or on the battery icon in the status bar (battery with lightning bolt).
As for why it gives you the red logo with the stock cord, it's giving sufficient power but not getting into "charge mode".
Damn...
I know there's a solution to this, and I think we've gone over the "tricks" to fool it into charge only boot mode, correct? If I remember, you were unsuccessful with those attempts. If not, let me know and I'll forward those instructions.