As you see, neck thicknesses of that era vary (more or less) slightly from unit to unit: from what I've gathered, most early 60s P basses range between low .70"s to mid .80" at the first fret.Reason I asked is I have a Vintera II P bass that's supposed to be like an early 60s bass and it is in fact about .75" thick.
Personally I prefer a much fatter neck but I wouldn't complain of I had a vintage one.
Your Vintera II 60s PB would certainly fall into the "thinner" (front to back) category. I also prefer fatter (thicker/deeper) neck profiles, and my experience is that all the 60 Ps (vintage, reissues, inspired...you name it) I've tried feel thin as long as they're 1.75" wide and have this C shape profile.
Obviously some feel thinner than others but, overall, I still consider this a thin neck in comparison to the soft V, V or U found among the 51-57 Ps.
Also, posterior Ps with the B neck (1.625" nut) are and feel substantially thicker, although they're narrower at the nut...
So here goes that, in case it might be of use to you (or anyone)!
