To reproduce with Desktop example:

1. Add selectable="true"attribute to default layer tag of places ("Cities and Villages") mapsource
2. Add <template name="select" auto="true" /> tag to the default layer
3. Turn on "Cities and Villages" layer (you may need to zoom out a bit)
4. Do "Select Features" and select the "Draw Point" option
5. Draw a point in one of the polygons
6. Observe the expected results (this is good)
7. Now try with "Draw Polygon" and draw a polygon over the layer polygons.
8. Observe no results returned (this is bad)

I see in map.js, the logic is set up only to use point for selection geometry for "vector" (inc. geojson) mapsources.