Jody,
I tried your suggestion anyway. I made a new store connecting to the exactly
the same PostgreSQL schema, but now with "Support on the fly geometry
simplification" unchecked. I left my first store (used in my question)
unchanged.
Then I published the 2 table (US_States and my own table) under the new
store. 

With these 2 new layers, the piechart SLD works! I mean the SLD with
intersection between geometry columnd and WMS_BBOX in its <Geometry> SLD
element. The piechart shown as expected (placed on centroid of the appearing
part of polygon).

This was a quick try. I am sure that Geoserver sends different query to
PostgreSQL on the 2 stores (with different option on "Support on the fly
geometry simplification"), but I haven't check to that extent. 

I shall post again with more observation on this.




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