You can also drag and hover while waiting for the opponent move and release if the expected move shows up or right click to cancel the drag if not the expected move.
Also dragging and hovering over your target square is super useful to visualize your move and catch any last millisecond mistakes.
I do t think any of the top bullet/hyperbullet players does click and click. I think I have seen Magnus doing click and click in very old chess24 blitz videos but I’m not sure he did that in lichess playing bullet orin chesscom scc for example.