I was looking at a working a couple of different thicknesses, actually: 3/4 oz as well as 5/6 oz. It's either the shoulder or belly, not sure.
I tried using neatsfoots oil, but it didn't seem to make a noticeable difference to me. Why do you say not to saturate the oil? I've been experimenting with small pieces of the leather, and aside from a lot of excess oil, saturating it seems to work better than just coating it and reapplying it. When I really fold and squeeze the saturated leather, it responds well, without 'cracking' or 'marking' the leather at all. Is there something else I'm missing?