My One X does this, but you really do need to press hard. Incidentally, it's one of the 'white box' review samples.
The Xperia S does it too if pressed hard enough.
Also - I can get this 'problem' on both the left and right hand sides, but if you press hard enough in the middle of the screen (or in fact anywhere) you can get it to a lesser extent.
But, guess what, any LCD screen does it if there's a soft panel above it that can flex even the tiniest bit. Perhaps the person who reviewed the phone forgot what LCD stands for? The clue is in the first letter!!
EDIT: I'm uploading a video to YouTube showing the 'problem' (link may take an hour or so to work)