I am to conclude that, had Dumbledore’s plan gone as planned, the wand’s allegiance would have passed to Voldemort when he removes it from the tomb, just like the latter says at the end of the Battle of Hogwarts.
Well, Harry says to Dumbledore’s portrait a short time later that he will die with the Elder Wand unconquered, just as Dumbledore was going to, and thus ‘it’s power will be broken’. And Dumbledore smiled and nodded. So Voldermort, when claiming that by removing the wand against Dumbledore’s wishes he took possession of the wand, he was, quite simply, lying.
And this is further proof that Dumbledore trumped Voldermort in virtually every category, including that one path Voldermort thought he alone had trod further than anyone.