Hi,
SUAVE certainly supports different thicknesses through the wing. They're assigned at the root and are assumed fixed for the segment (SUAVE analyzes it like a wedding cake and not a cone).
I assume this is a SUAVE-OpenVSP question?
I just checked my OpenVSP import and I think there is an issue with the export. I found the first segment was a little off. It looks like the airfoil are 0 indexed and the segments are 1 indexed in OpenVSP. We do have an adjustment for this, but it doesn't look to be working in every case. The good news it that the import is fine.
We'll create an issue and update this for the next release.
-Emilio