Your test case gives an unfair advantage to the vertical shot because
the subject is in the center. In the horizontal orientation you
placed the subject towards the corner where barrel distortion is more
pronounced!
If you place the subject in the center in either orientation you
should see no difference in distortion.
You would see a 1% difference; at least I do with my copy. Also,
this illustrates a situation where the 35/1.8 would do worse than the
35/2, primarily because the 35/2 has less barrel distortion to begin
with.
My guess (since I've now done more than enough testing on this issue)
is that the 35/2 would show close to no difference if I had tested it
too. One reason I didn't even bother though was that the first thing
that would jump out at anyone looking at the two shot side by side in
with that set up would be that the 35/2 is actually longer than the
35/1.8. Now I've covered the issue of slightly different focal
lengths between these two lenses earlier in this thread, and the
appearance of that factor here would just confuse the entire issue I
was getting at, which is that you want to be careful in how you frame
your subject with the 35/1.8 and that portrait orientation is better
than landscape orientation with that lens.