There's an ad for Family Feud of all things that discloses the Share #'s for the Rookie Five at launch in the 21-24 metered markets they cleared.
Challengers got an 11 share, Tic Tac Dough a 10, Joker a 9, and Quiz Kids and Trump Card bring up the rear at an 8 share.
There's an article from later in the year that notes that while TTD started off a little stronger, it's numbers quickly fell off a cliff. Based on the fact that Wink-era reruns had been in circulation on USA for the past three years and the show had been fairly popular at it's peak, and thus provided a suitable study for comparison fresh in viewers' minds - and given this version's infamy in the fandom - it's a fair guess why viewers turned against it and why stations seemed eager to dump it and why it was the first to go.
Quiz Kids started anemic and didn't get better - and exited JUST after TTD in December '90. At the time it was noted that none of the five were above 75th place in the ratings in syndication, with Joker generally seen as "potentially salvageable" while Trump Card and The Challengers' numbers were poor but with distributors with deep pockets willing to commit to a full season order (in part hoping to pick up some stations as other shows collapsed). The Challengers' numbers were affected by several significant lost clearances and time slot downgrades compared to launch numbers, while Trump Card started in the basement and stayed there.
Joker was right there with them, however it's explicitly stated in late 1990 that Orbis (who also distributed Joker) was launching $100,000 Pyramid in January '91, and planned to keep Joker going paired with Pyramid where possible in the hopes to salvage the former (or at least provide a few landing places for Pyramid in markets that cleared Joker). When Pyramid debuted and Joker didn't so much as twitch a metter, it was scrapped after February sweeps.
Between a slightly hotter launch (because Pyramid) and managing to pick off a few of Joker's stations, Pyramid did enough to come back in September. (but itself would be out by December).
Trump Card went all the way to May and at least finished the season with Warner's backing, but it was already clear the show wasn't getting a second year.
The Challengers held on through the summer - although exact numbers are scarce beyond "never cracked the top 75 after launch month", it wasn't performing horribly in every market, and once it hit it's floor it seemed to stay there with a small but loyal audience. So Disney ate up the full year's contract, the show kept on until September then everyone promptly moved tf on.