If the defense is guarding her, and she turns her palm "skyward," it's a carry. Before the "carry" was established a couple of years ago, it's a double dribble. As far as I'm concerned, the dribble stops when the palm is holding the ball upward.
You can debate all you want about whether advantage/disadvantage should be taken into account with this violation, but my concern is that robert said he's not calling it because the action itself doesn't create an advantage. Anything that looks like the dribbler is stopping her dribble creates an advantage if we let her continue to dribble.
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