How loud is the CD coming through relative to the TV ? I once had a terrible crosstalk problem until I discovered I'd accidentally plugged the CD player into the tape-out (reaching behind a cabinet in the dark). Once I'd corrected this the crosstalk went away.
Now I can never detect even the slightest hint of crosstalk, so your situation seems a bit odd.
Now I can never detect even the slightest hint of crosstalk, so your situation seems a bit odd.