V has established that he is willing to try to intervene at every possible point when it comes to breaking the prophecy. So he would paralyze Harry, and take Harry's wand from him, and destroy Harry's wand. Especially in the context of V asking Harry to share secrets V doesn't have.

And intervening with the prophecy is about removing Harry as a threat.

He only let Harry speak because he wanted his secrets. Got greedy and overconfident. Fine.

But I see no reason Harry needs to have his wand to have that chat. Paralyzing him would be another precaution, but that would be secondary to taking his wand - without his wand, he's a very smart little boy.

If an edit could be found to justify letting Harry keep his wand, I think that would do it for me.

Hmmmm. On EY's new scenario, would magical paralysis automatically wear off if the person who cast the spell dies? Does Voldemort need his wand to leave his body? Seems a pretty hard row to hoe for even just a paralyzed Harry, to keep Voldemort from leaving his body or otherwise escaping.