Nah not really. When Parker arced up about not being a rescue ship, Kane starts to try and reasonably explain their obligations, while Ash appeals to the captain who yells at Parker.
Yes, we spent the least time with him. He's dead by the half way mark, and spends half of that time in a coma. But as far as we see he's the most genial of the crew.
There's even a bit in the novelisation where Parker and Brett agree they like Kane more than Dallas.