As the transportation began, there is only one thing that ran in Zeke's head. Beside him is Sylph, probably saying something important. However, he is too preoccupied with the various tactics that could be employed with his fight against Gallio. Taking into consideration all his money from the shop, his skill set, his items and, his summons – he thought carefully on the best way to optimize all these factors. That is, also taking into consideration any unfortunate circumstance such as, an earlier encounter with the Blood Elf Monarch.
On the other hand, Yaeger is also preoccupied with a single thought. That is, the adventures which her daughter would finally be able to take out of her realm. Now that she isn't bound to Yaeger's territory, her memories would completely be wiped out. Yaeger didn't tell this to Zeke on purpose. After all, the human may back out if he learns that he needs to babysit a dragon with a blank memory.