tbone, I think it has to do with a razor and blade setup. You are right about the skin being thinner and sensitive down there. Personally I've noticed that a light touch and sharp blade yield good results for me.
I've also used Mach 3 and Fusion ... So many different kind of razors. Taking my time and using a light touch with a DE razor I haven't noticed more or less issues than with Mach 3 for example. At times I think using a DE has been more beneficial for my skin health down there.
But yes, of course one must pay good attention and perhaps try shaving just a small part, reviewing the results. After all, we're individuals and our skins will react somewhat differently.
y