How to extract insertion points from point location blocks and write them back out to CAD as points, not blocks.

I am reading CAD point blocks with Explode Blocks unchecked. FME represents these features as points (fme_point), as expected; however, if I then try to write these points back out to a new CAD file, the writer rejects all of them, saying that the blocks are not defined in the CAD file. I don't want blocks written out. I want simple points written out. Now, if I explode blocks on read, only one of the four blocks/feature types in the CAD file produces the insertion points as points. The other three produce all the lines, arcs, etc. but no points. So, how do I go about getting the points for all the blocks and then writing them out to CAD as plain points, i.e. no blocks.