It didn't take long for Nessa and Violina to agree with Zach. It would have been great with something to help their headaches, even if only a little. The headaches faded pretty quickly. But only if they didn't look at the past through the statutes' name plaques. They could just wait a little longer between each time.
However, even when they gathered almost all of the other entrants and rotated entering the scenes of the past, the headaches didn't fade quickly enough. When taking longer breaks meant it would take them longer to figure out the correct order, very few of the entrants wanted to waste time just because of a slight headache.