I replaced my Asus TF300 because of a similar issue. Asus fixed it once under warranty (replaced the entire LCD and digitizer, I think) but the issue came right back within a few months after RMA. By then the warranty had expired. In my case, the ghost touches were prevalent in a specific part of the screen; couldn't tell from your video whether the false touches were in the same general area every time or not.
Surprisingly, until the problem became so bad that an entire area was unusable, I could flash a new ROM and get somewhat different behavior. Just to be sure, though, I did flash a stock ROM prior to sending back to Asus and verified the issue existed there, labeled the area with tape so they could not miss it, and described in details the steps to reproduce.
Sent from my GT-N8013 using xda app-developers app