I posted some polls on the sidebar regarding if older and newer episodes of Jeopardy! and Wheel of Fortune would ever come to back to the GSN schedule.
What I believe, in short, is no.
I would say GSN is moving away from shows like Jeopardy! and Wheel of Fortune, but this network already has been moving away from more non-traditional since 2013 for creating shows like Skin Wars, Skin Wars: Fresh Paint, Hellevator and Window Warriors.
I do not believe GSN even needs shows like Jeopardy! and Wheel of Fortune back on the schedule. First, GSN daytime does quite fine on endless reruns of Deal or No Deal, Chain Reaction, Family Feud, Catch 21, different versions of Pyramid and Press Your Luck and so forth. Second, GSN strives for the Women 25-54 demographic, where Pat and Alex do not pull as strong of a demo that Family Feud does.
GSN also strives for younger viewers. Jeopardy! and Wheel of Fortune do not skew young, or at least young enough for GSN's liking.
Wheel of Fortune has not been on the GSN schedule at all since a marathon in 2010. In May 2012, GSN acquired the 2008-09 season of Jeopardy!, which was pulled off the schedule within a year and never shown again. The lease to those episodes expire next month.
Last, GSN has not been big on acquisitions the past few years and has only cared about very modern episodes of Steve Harvey Family Feud.
The only way I see Wheel or Jeopardy! coming back to the GSN schedule is if GSN wants to eliminate pre-1990's completely and fill the morning hours with something that is at least "traditional." Even I do not see that happening, where the pre-1990's remain strong enough in ratings for now to stay afloat. If they were to go, there are the current shows in the lineup that are cheaper fillers than Jeopardy! and Wheel of Fortune.
I also posted some polls on the sidebar about older versions of Family Feud and also Millionaire. Here would be my answers, if I voted on all polls:
Pre-2010 Jeopardy! ever coming back to GSN: No
Post-2010 Jeopardy!: No
Pre-2010 Wheel of Fortune: No
Post-2010 Wheel of Fortune: No
Dawson Feud: Yes, marathon format only
Combs Feud: Yes, marathon format only
Karn Feud: Yes
Millionaire: Yes, probably the Regis or Chris Harrison episodes at some point-likely marathon format.