We've been having this discussion for long enough that It really seems like Simplify3D should have implemented it. I often print parts which require errors less than 0.1mm so I can appreciate accuracy.
However, I do a lot of printing for clients who want to create models of existing products for trade shows or concept renderings of a part to be manufactured later. In these scenarios, I have no access to the original design files so to say "just fix your model" is not an acceptable answer. Additionally, to leave of large sections of models (the current slicer behavior) is also not an acceptable answer.
I can't see any situation where it is more acceptable to have no part printed than to have a single extrusion thickness printed. If you were expecting a wall of 0.4mm and it came out 0.6mm because of the size of your nozzle you have created a part that is dramatically more accurate than a wall which printed at 0.0mm thick. Not to mention printing 0.0mm thick means other parts of the model will not print correctly, further reducing accuracy.
To say it's more accurate to print nothing is a false argument. Please Simplify fix this behavior ASAP!