Banjee's refusal was expected by Igula.
Among the three who had lost contact, Banjee cared only about Hanna, and anything that could affect his mission to rescue Hanna was unacceptable. Banjee started heading towards the gaming area only because he thought Hanna would meet up with Ash, but now that Hanna hadn't appeared and Ash was surrounded by enemies, Banjee had no reason to take the risk.
If Ash and Hanna had both fallen into the water, Banjee would definitely have let Hanna step on Ash to climb ashore.
The reason the housekeeper boy told the group so much was because he wanted to persuade the two new employees to join him in searching for Hanna. After all, Hanna's situation was unclear, and it was very likely she had encountered enemies, so more reinforcements were naturally better.