the only thing i can think of that explains the interferance would be elcectro static (could be from the tv) And the only way i can think of dissipating that static is to add a resistor to the grounding wire in the av pack..
many of teh av packs only ground directly back to the xbox which generally is fine but sometimes it just isnt quite enough..
possibly the other av pack that works has better grounding.
And its also possible that the xbox its self is the cause of the static, but resistors arent polarized so no matter which way the exessive static is coming from the resistor will dissipate it..
Il go try and take a pic so you know what i mean...
-=EDIT=-
ok i could not find my camera with macro mode so i did the best i could with the one i found.
Its hard to see but that thing theiere is the end that plugs in to the xbox the black thing slides of exposing the wires.
the actual mettal part you see has a collar that grabs on to the cord.. Between the cord and the collar is the grounding wire..
if you move the wire so it is not grounding at the collar any more. Solder a resistor on to it then solder the other end of the resistor to the big mettal bit that should disspiate any statical electricity that could be getting transferd.
here are the images..



-=Edit 2=-
here i tried to edit the pic a little. Ignore the fact that i use a green wire as ground wire.. it is actualy just a wire has no plastic coting on it.. its just copper wire..
obviously its easy to get the resistor in the case with the wire. the pictuire is just illustrating what connects to where.
Also ignore the stripes on the resistor they are just depicting what it looks like, not the type to use.
And if you do this be sure the grounding wire dosent touch the metal any where. it has to go to the resistor and the resistor to the mrtal. if the copper wire touches the mettal anywhere then it will find a easier way to ground and just go that way instead of dissipating through the resistor.
