I don't think you can fault the Globetrotters too much. They just arrived and really had no idea how long Mika and Canaan had been there, nor the extent of her fear.
I don't think Canaan handled it very well, though, either. She might have had an easier time had he not tried to push so hard. When he finally went down first, I was thinking that maybe he should have done that right from the start. There was the other team where the guy said that he wanted to go second because he was afraid that she wouldn't go if he went first, so I understand why Canaan didn't want to go first, but at that point, either she is going to go or not and if you aren't really being supportive of the fear, then you shouldn't be right there.
I'm curious what sort of penalty they would have incurred had they just moved on. So, right from the start, Canaan goes down first and grabs the clue. Then Mika decides she can't do it and meets him at the bottom and they run together to the mat. Historically, it seems like there would have probably been a time penalty of some sort. They have made people go back for things before, though, so it's unclear exactly what would have happened, but it would have been interesting to know.