Soul hax for DMC characters is passive on their physical attacks.....infact you would have to assume that he "turns off his soul hax".....
And Judgement Cut is far faster than Hakai.....even Dante who is equal to Vergil cannot follow its technique completely......and Dante can pretty much meme on Vergil with RoyalGuard which is faster than "raising your hands and shooting a blast".....
Judgement Cut is pretty much instantly summoned on character's person....there is no elaborate "draw and slice and sheathe" animation for Judgement cut.....that attack is more bread and better for Vergil than shooting simple Ki blasts for DB characters....he can even do it on the move while dodging and even teleporting.....
The awesomeness of
Judgement Cut, and
here, here he does this
simply walking, here he does this
mid dodge.
Here is Dante dealing with
it.
These are the kind of relexes these guys have...
Dante has similar move to hakai where he
"raises his hands" to kill his enemies...and this is more dangerous since he telekinetically holds and instantly summons a implosion inside you....and Vergil has canonically dodged it.
Tldr;
Vergil just needs to unsheathe his sword a few centimeters to instantly kill his enemies while Beerus needs to raise and point his arm to erase.......Vergil's is far faster...
And even if that is not enough....Vergil spams teleportation to dodge the Hakai and let loose a Judgement Cut.