Since no one has answered why the directivity is so wide and probably will ignore my question since I am not famous here, I will try to answer it now and hopefully get it started. The directivity depends on the diameter of driver and wave length of frequency. When frequency got to a point the direcitivty will become narrow, but it does not suddenly become narrow, it will happen gradually.
For frequency that radiate more than 2 pi radian or 180 degree the sound will bounce off the baffle. For normal speakers with box there are also bounce off, but the amount is not much because the baffle is small. For in wall speaker the amount is more because the whole wall is baffle, in this case the board made by Amir.
Few things I don't know are (1) is there directivity for bounces off, (2) how much bounce off in a certain length of baffle or it will be continuous and (3) is it bounce off or more like crawling along and probably has different directivity to driver's directivity.