I know what I'd rather watch. I like to see someone who's got the smarts and has an engaging personality to match. KJ is a good example of that.
On BAM, you can pretty much figure out what the APs look for by reading the transcripts. I read today's and I saw that the carryover contestant was not aware that
Spoiler
a President could later become a Supreme Court justice-it was William Howard Taft.
Since J! has a mock game portion of their audition process, the contestant coordinators can actually see who will be more likely to "freeze" under the pressure of TV lights and a live audience and who won't. Does BAM have such a thing? Judging from what I've seen on the show over the years, I doubt it.