I imagine they do, or rather Sony, as they are the company that owns it. Right now, it seems GSN has the rights to 200 episodes (1986-1987) that they leased from Sony.
It's been almost 15 long years since reruns of both 80's Pyramid editions made their debut on GSN (October 11, 1997 was the date). At first, it seemed only '82-'83 and the '88 finale of the daytime edition had been converted from analog to digital. But now, it seems GSN and Sony have gone back and successfully converted almost everything in between those two points of the run. I'm sure they even have most, if not all of the remaining '83-'84 and '84-'85 ones successfully converted to digital, as well.