Draw seems a controversy. The fact that guys get nice edges from heavy and light draw is my first tip that no one likely has authoritative input on the subject. I still find many aspects of stropping baffling. That doesn't mean there aren't differences - they show up in the HHT for me after using different materials

Having started out as a stropping idiot, I started w/ latigo, and found, like Jimmy, that it could be grabby and I had a hard time keeping a stroke smooth and light. I tried different leathers, and like many, found horse hide easy. Yay team. Further reading exposed me to the school that wanted high-draw first, then low draw. It had a consistency to the edge, but sometimes just latigo would give best results. For the last 6 mo. or so, I've been back to latigo almost exclusively, and been very pleased. I hold the razor differently to guard against the dreaded 'grab' that damaged several strops in just the fashion Jimmy describes. The smaller blades are the worst for me. The small size, low mass - allows them to flip over on their spines so fast that there's no stopping before you see the edge sunk into you strop. My grip, now, is right up against the heel of the blade w/ my thumb contatcting the heel. 'Been a long time since I've brutalized a strop this way. I don't think of it as a 'right' way, but just one I've been able to make work. 'Nothing sacred about the method - I'll let someone else argue with anything that works.