Bryce's smooth is not altering the mesh density. It just creates a sort of gradient. The smooth that you used in amapi is a mesh smooth. It subdivides the whole mesh, resulting in a higher polygon count and less jagged edges. From what I've seen in your screenshots I'd say you'd best load the low-res mesh in Amapi. Apply the smooth to it, but smooth it a bit less strongly then you did in the 2nd screenshot, because otherwise the polygon count is unneccesarily high. Then you should export the Amapi smoothed mesh and import that one into bryce. Then run bryce's smooth and you should have a nice non-jagged urn. You should always try to find a compromise between detail and polygon count. As soon as you don't see any clearly jagged edges in the render the smooth is strong enough. If you smooth even stronger after that you add unneccesary complexity wich will increase export time, import time, open time, save time and render time and wireframe update time. In other words everything gets unneccesary slower.

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