I remember a thread about that, but more general.
I learned to sharpen with the flipping technique. But then, I had 20-some blades at one point, a lot of them from the low-end segment of the market, and I started thinning a lot and practicing polishing as well. And with as many blades for a home cook, I really didn't need to sharpen so often, even when inventing every reason to do so, but most of half of them could do with some slight thinning, let alone that I embarked in more and more advanced project to do so. At some point in late 2020 I was thinning/polishing more often (well can't be entirely true since I did have to resharpen those blades after, so lets's say I was spending way more time thinning/polishing) than I was sharpening, and I had discovered that it was way easier for me to do so switching hand, I cannot exactly fathom why. Something my body told me to try that worked.
In early 2021 I was getting very good results sharpening with flipping, but at some point (I'll always remember it was on NP400, and I remember it was some stainless knife) my body also told me to switch hand when sharpening. Never went back, although I do use flipping in some situations. Mostly short blades, or when stropping/touching up. My body telling me I have more of the lightest possible touch with my right hand (for touch ups, one handed, perhaps the left middle finger helping slightly with following curvier tips), and my head being rather bored and uninterested with sharpening shorter knives meant it became a chore more than an activity I liked to do, and somehow short-cutting switching hands because it took slightly more time and finicking there than using a flip.
Only time I did a cleaver (a western one) it was so wide and heavy than
@tostadas method was what my body resolved to do: holding it by the middle of the blade.
There might be a better method to everything I do, or it might be like most things knives that it is a personal preference. But since then I just listen to what my body tells me to do. I also use flipping when I'm doing a full "vertical Kasumi", which is something I've done a lot, and still prefer to do it in many cases or on most Migaki blades.
What I mean is... listen to yourself. No one can really tell you how and why you'll feel more comfortable any way vs. any other. Results are what matter in the end, and once you've spent some amount of time on the stones, your head can often sort of complicate or get in the way of what natural muscle memory and instinct will tell you to do. So I always at least try to do what the latter tells me to do and see how it goes.