Draco Malfoy's wand

PLEASE NOTE THAT THIS IDEA ONLY WORKS IN THE FILM ADAPTATION OF HARRY POTTER

So... Lord Voldemort was obsessed with getting the Elder Wand because he couldn't fatally wound Harry Potter with his own wand, due to their Twin Cores. However, Harry's wand was destroyed in his and Hermoine Granger's fight with Nagini, where Hermoine casts The Blasting Curse at Nagini. Afterwards, when they are captured by Snatchers and taken to Malfoy Manor, Harry gets a hold of Draco Malfoy's wand, and takes it to Garrick Ollivander. Mr. Ollivander says that Draco's wand has changed alligence, and it is now Harry's wand, if he wishes it to be. Harry continues to use this wand, even during the Battle of Hogwarts. Therefore, Voldemort never needed the Elder Wand, and could have probably won the duel between him and Harry, if he had used the Yew and Phoenix Feather wand that chose him, because Harry didn't have his own wand, and Voldemort would have no problems with Priori Incantatem, or inficting fatal wounds on him. What do you think?

Hermione wand

Draco wand

These are the noble collection once

So while talking to Harry in the robe shop, Draco says;

'My father’s next door buying my books and mother’s up the street looking at wands,’ said the boy. He had a bored, drawling voice. ‘Then I’m going to drag them off to look at racing brooms.'

So did the 'wand choose the wizard?' Or did Narcissa just buy the 'best' wand in her opinion for Draco.

We know that when he borrowed his mothers wand it didn't perform as well as his own- but just because it was less inclined to do what Draco wanted, doesn't mean the old wand wasn't just more flexible in performing for anyone- it certainly switched very quickly when Harry grabbed it..

It's described as 'reasonably springy"- which to me just means it's more likely to bend to anyones will.

The wand that Harry pulled out to threaten Lockhart

Is the same wand that Draco uses-

Wow I am so observant.