Ha, immediate rematch. Well, I mean, they're both supergeniuses and they're given the schematics and everything, so on paper this seems like a toss up because really I think any supergenius would do fine reconstructing on their own with the schematics given to them. That said though, Nadia's inventions harness Pym Particles which are not just an unfamiliar concept to him but don't exist in his universe and I feel like that would hamper him. Granted, this can go in reverse with Gallifreyan tech for Nadia, but I'm pretty sure things like the sonic screwdriver have been made with solely Earth resources before, so I think it's not as big an issue for her.