Clean the contacts of the LVDS cable with a pencil eraser on the logic board side and on the display side. This cured my screen flicker by 95%.
With the LVDS cable connected to the display panel and the display panel not quite seated down into position yet, slip the first layer of 3/4" x 2 1/2" strips of thin, doubled-up cardboard down in against the display housing behind the inverter board. Next slip the second layer of thin cardboard strips between the inverter board and the lower metal retaining bracket (the thing that lives behind the display bezel on the bottom where the two smallest screws go). Now the inverter board is sandwiched between cardboard on both sides. In may case screen flicker was cured by 100%.
By the way, I tried using the heat gun at 200ºC on various parts of the inverter board, shielding the display panel with aluminum foil to protect it from the heat. This technique showed no improvement in screen flicker whatsoever.