Watched a video yesterday where a bloke demonstrated the track stand, gave a little advice as they usually do, but in this case, the camera angle allowed you to see something different. He rode into the stand, stopped, THEN twisted the front wheel to one side. It's typically described as twisting the front wheel as you stop and that's what's been screwing with my head, particularly as I'm one who tends to turn the wheel in the opposite direction to what is usually advised.
Anyway, I tried it. No big delay, nothing dramatic, just the stop then the bars twisted as two movements. The result seemed a lot more stable and predictable.
I suspect with time, you stop realising how you're doing things because you no longer have to think about them. Anyway, this seems to have triggered one of my mental traps. Worth a try.