Not that I care one way or the other

As a fifth grader, Zinkoff knows cool when he sees it. He takes a stab at cool himself. He shuffles his feet. He hooks his thumbs into his waistband. He gazes off into a Beyond of his own. "So," he says, tossing in a shrug, "what do you think?" Making it sound like, "Not that I care one way or the other."

Hi,

Does the bolded part in the above mean "I don't care at all anyway?" Thanks.