Regarding wood/tilt different parts, there are two commonly discussed.
1. Different crash pad (cap assy, steering wheel hub, part 3623) on wood wheels (not related to tilt). I can confirm that this is true. Refer to the first picture below from the Jan 67 MPC. Also refer to a different post where I posted pictures with dimensions comparing a regular and wood grain wheel pad. The wood grain wheel pad is "deeper". In my opinion that is due to the fact that the wood wheel is a deeper dish than a regular one, and the pad, a safety item, was intended to be flush with the rim.
2. Different lower collar (for tilt app). I looked through the Jan 67 MPC and see no mention of this - there is only one part listed. I've never had someone claiming to sell one provide me with any dimensions so I could compare to the stash that I have. Also I have an original wheel and tilt column from a car (I pulled them both) and there is no difference compared to the other wheels I have. The second picture is for this part - 3491.
However, the big "but", if you look at the third picture from the very same MPC, you will notice that the steering wheel hub pictured is an older 1966 model. Which just shows that nothing is perfect.
I need to get a hold on a later MPC to see if there were any subsequent corrections.