If amapi is not exporting th high-res version then it's probably a problem with the dynamic geometry (or however eovia called it in the manual). After you smoothed an object you can still work on the low res "cage". I think that cage is exported instead of the subdivided model. To get rid of the low-res cage you select a tool for instance the tool that allows you to move one point (the 8th icon from above on the right row of the toolset). You will get a little menu or a group of icons. One of those icons is a red highres wireframe shaded vase. If you click on that one your model should lose it's low-res cage. If you do this you can't edit the low-res cage anymore because it's gone, but the highres object should export fine now.

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