Exactly. At that point, she had never had any other costume that was just hers (the first O5 uniform was a group thing), so it made sense she wanted to die as Jean Grey. But she didn't "reject" the Phoenix...
But now? They did read X-Men: Red, right? [When she wore a new uniform after she *actually*, *unequivocally* rejected the Phoenix Force]
Also... Marvel Woman is bad? But Invisible Woman isn't?
And that's the reason Jean has to be called "girl"?