I ended up solving this by returning a Polygon instead of a Point in my
custom process. Something like:

(...)
WKTReader wktReader = new WKTReader(new GeometryFactory());
Geometry geom = wktReader.read(pointString);
GeometryBuilder gb = new GeometryBuilder();
Point p = (Point)geom;
Polygon poly = gb.circle(p.getX(), p.getY(), 0.1, 4);

SimpleFeatureCollection collection = createFeatureCollection(poly);

return collection;



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