Vergil's "Down", "Fall", LOL. Good one. Vergil's platforming sequences are definitely a new challenge compared to playing as Dante. I'm pretty sure it was designed like that on purpose so don't expect any changes. It's just part of Vergil's unique gameplay.
I killer Bee off the edge a lot. PLUNDER FASTER VERGIL.
I wouldn't recommend using Killer Bee as frequently. It's like the most inconsistent ability due to the game not having a lock-on system and the fact that it bounces Vergil and pushes the enemy back at the same time, messing up the tempo of the combo completely.
There have been times where I was able to magically Angel Pull myself up while falling far down from a ledge. One time I somehow fell directly below a platform during a fight where a bunch of monsters were but I kept spamming Angel Pull and luckily teleported back up right through the middle of the platform, lol. It looked weird as hell and made no sense but it was funny.
Use the downward drive without the stomp.
It really helps you in this game mode.
The Drive Evade Cancel loop is probably Vergil's most powerful combo if you could execute it consistently. Correct me if I'm wrong on that one but I know it definitely does more damage than the Helm Breaker Jump Cancel loop.