I think in particular older articles would use the first picture since you have the two electrodes identical, which reduces the calculation time (very slightly, though, to be honest). The effect on the results (or at least the conclusions you can draw from the results) should be marginal if it's just a matter of which layer ABC you have as surface. The really interesting part is the actual contact, if you place the gold on a hollow site or bridge site, or even on top.
It's a bit hard to see from the picture, but if you have a different coordination of the S atom to the gold surface, then the results will be different.