Thanks for the Anti-Reverence tech Hajin! Some people in my scene just throw punish 1P2K on block. No one ever really tries to hold it, because it's not worth getting hit by a hi-counter low throw.
Very big tip for beating Reverence (and a reference to Ayane in general). Stagger escape Ayane's 1P counter hit when she's not following up with 1P2K. Stagger escape and block, or hit her with your fast mid if he decides to hit the throw button. There is no reason to hold at all UNLESS you see a spin animation for a follow up. 1P into throw baiting is purely an online tactic because it's just taking advantage of the fact that lows are difficult to crouch online. Just like 3PK and 6K2K abuse are online.
1P is a solid counter hit tool, however, better players will do what was suggested above or just hold her follow up low sweep on reaction because there's no guessing offline with it. Unless it's a slip stun on a slippery surface, then it's a different story. Outside the slip stun, Ayane is just taking advantage of the frame advantage she gets from the 1P counter hit.