JED, the GOUT (new DVD set) definitely comes from the same master tapes used to create the Definitive Collection & "Faces" Laserdiscs. All except the opening crawl, which was added from another source.
ESBHG, although Laserdiscs are analogue, the Laserdisc master tapes are digital. The Laserdisc format was not able to realize all the detail available on the tapes; DVD comes closer.
There is plenty more info on both these topics on these forums.