you are correct downunder in your post about dirt also can cause this behavior...
and cleaning would solve the issue in some cases...
but when there is a physical scratch into the digitizer surface...
then you need to replace the digitizer part...
btw... love the tip about fishing line....
i will get some and use that in the future !!!
on the TT 930T...
the lcd and the touch glass (digitizer) are glued together with double sided tape round the edge !!!!
the digitizer is soldered with 4 connections to the back of the LCD
so glued and soldered they are !!!
the digitizer :-
the LCD + Digitizer assembly
images hotlinked from ebay sources