No, the music channels on DirecTV do not leave a screen burn-in.

An LCD screen is a lot different than a plasma screen if you leave something paused on one of those it will not burn into the screen. You could pause whatever you wanted.

A burn comes from having a picture on the screen what has little movement. Don't leave the screen on a channel or video that is static for days at a time.

You can find detailed instructions on how to repair burn marks on a flat screen TV on ehow.co.uk/how_5749492_fix-marks-flat-screen-tv.html

Because traditionally CRT monitors suffered fronm 'screen burn' where the contents of the screen were 'burnt' onto the screen. The screensaver was a moving object on the screen designed to stop screen burn. It is still popular today, because people can make them look cool.