The last time they tried to schedule NYSI, back in the late 90s, It lasted all of, IIRC, around two weeks. And that was in a *weekend morning* slot....when there were even fewer people watching the network than there is now.
Beat the Clock, Body Language I could see. BTC's got at least a *minor* amount of "oh yeah, I remember that" recognition, while Body Language has proven it can hold down at least a weekend slot for years-on-end (it lasted somewhere around four-ish years, I think, on weekends)
Child's Play is probably the mixed bag of the bunch. On the one hand, it's a Bill Cullen show that had a run longer than 13 weeks, but on the other hand, how much of those little kids could viewers take before they changed the channel to something less painful - say - Trading Proctologists