For the last 10 or 15 years, I always showed a thinner elevator section, vs's the stab, for the very reasons mentioned in this thread. It does indeed work to soften the controls around nuetral.
I do believe there's a drawback to the practise though.
As I gained more experience, I found it difficult to do extact transitions from insides to outsides in the Eights. I had to anticipate the intersection or I would tend to get a flat spot, and the outside tended to be larger in radii than the inside.
Lately, at the suggestion of my mentor and flying buddy, Gordan, I started going to 3/8" stabs and elevators. We found that by utilizing proper incidences, as suggested by Bob Whitely, and, building as straight as we could, that the plane will groove very well without the slop, either mechanical, or areodynamic.
It became much easier to hit the intersections in the Eights. The transition from inside to outside were smoother, and resulted in even sizes between insides and outsides.
At least, that's what we found for us on our airplanes.
The latest plans I've drawn all show equal thickness for the stab and elevator.