Actually, the grip I use and recommend is a "soft pinch," and the technique does include not wrapping your itty piddies all the way around the handle. Knuckles remain on the side, like this:
You can gain even more clearance and get some extra action -- as for a very small knife -- by "coming over the top."
If I read Franz's pictures right, he's combining the two techniques into a very versatile and comfortable grip for a small knife.
You've just started on the pinch and are clearly happy with the improvements its made for you, so I didn't want to cloud the issue or rain on your parade with yet more advice. But since the subject is broached, you might as well read this