I think you've got that backwards. My understanding is a 0 on your W2 means you're taking no deductions and you'll be taxed at max. Unless you're thinking of marking as exempt, which would be no tax taken out (then you'd owe at the end of the year).
But I could be wrong there. Reading this PDF from Vanderbilt makes me think I'm not, but taxes are intentionally as confusing as possible so I'm not going to say I'm confident. I inevitably end up owing the fed and paying it with my state return, so don't take my word for fact lol.