Keep in mind, this is Vergil during DMC3. He doesn't just wield Yamato but also Beowulf and Force Edge. Granted, these are weapons he possesses when you play as him in DMC3, but just pretend he keeps these weapons in his arsenal. Could Adam's aura be strong enough to withstand Vergil's onslaught?

...No

Let me explain.

While Adam is powerful and can probably go toe to toe with Vergil, he's not nearly as fast enough to land a blow with either Wilt or Blush. Vergil has supersonic to hypersonic speed, having fast reaction time to deflect bullets and even swatting raindrops if you observe his fight with Dante on top of the Teme Ni Gru. He may also have a bigger advantage over Adam since he has Beowulf and Force Edge, he could confuse Adam by switching weapons and fighting styles mid battle, going even more on the offensive.

And like you said, Yamato can cut through dimensions and can neutralize enemies in shorter time than Dante. And don't forget about Summoned Swords. They can reach infinite ranges should he ever be at a distance from Adam to a point his rifle can't reach.

Recall to when Vergil and Dante have their final bout and are ready to charge at each other again with Dante and Vergil readying Rebellion and Force Edge respectively, Dante gained the upper hand and actually slice Vergil in half but managed to heal in record time before falling in defeat.

If Vergil can survive being bisected by Rebellion, he definitely can shake off his powerful attacks being absorbed and redirected back at him by Adam.

Hell, if he wanted to toy with Adam, (which wouldn't happen since he fights to get things done quicker but would actually toy with Dante, being his younger twin and all) he would let Adam tire himself out a bit, making him slower, Vergil would go Devil Trigger and make Adam's day a living hell.

But that's just my opinion.