Yes, it is a thought. Maybe Grindelwald felt like being nice to Dumbly and he just gave him the wand. But the people writing about the duel wanted it to sound cooler than it really was, just for some publicity.
Why did Dumbledore not defeat Voldemort in the Ministry of Magic? Quite simply because he was using his own original wand for that duel, not the Elder Wand. Remember, he already knew from the prophecy that Harry had to be the one to defeat Voldemort, or die trying (most likely both).
And it was revealed in the seventh book that the "duel" between Dumbledore and Grindewald was staged.