Jeopardy! is far more likely than, say, Wheel.
Based on what evidence aside from your own mental excretions?
What Jeremy and I mentioned, plus the fact that
Jeopardy! has shown pictures and clips of the Fleming era while
Wheel basically ignores everything between Byrnes and Sajak (including Stafford). Further,
Jeopardy! says "You've been on a non-Trebek version? Come on back!
" while
Wheel goes "You've been on a non-Sajak version (even the cheap-ass
Wheel 2000), or his daytime run? Tough shit. >
"
There's also the fact that the only times the full (or near-full) history of
Wheel has been discussed, it was never on
Wheel itself: namely, Peter Tomarken's history "essay"-thing on GSN's first day, the showing of a 1976 episode by GSN after Merv passed away in 2007, and (most notably) the show's
E! True Hollywood Story in 2005.
If
Wheel has done any homage to its true longevity, it's been very rare and certainly not on any January 6 show I'm aware of. I know Chuck's been mentioned a few times, but that's about it; there was
a 2001 discussion about that on ATGS, although the one mentioned by "Streaming Wizard" is quite bizarre (and, you know, saying "Hey, we keep Woolery and Stafford locked up in the dungeon! >
" sounds mean-spirited given that their contributions are almost always ignored).
(
tl;dr --
Wheel has barely recognized anything pre-Sajak despite being on continuously since 1975, while
Jeopardy! has a long association with the Fleming era despite going off the air twice before Trebek began. I don't see any reason why this would change anytime soon.)