Ainsworth wasn't certain if Elyndra and his other classmates could extend their stay in the Otherworld Mission like them. But from what he knew, it should be impossible since while Awakener Points could be transferred, it's impossible for a non-rank awakener to hold it.
So unless Elyndra and his classmates were to encounter Otherworlders like the Main God Space challengers, they couldn't extend their stay in the Otherworld.
Even then, that was impossible as the encounter of Main God Space challengers was only due to the Otherworld Mission being at the Unknown Difficulty. Unless Elyndra and his classmates could access the Sixth Difficulty as Ainsworth did, they could only choose the Hell Difficulty even if they wanted to select the Unknown Difficulty.