Hi Erel!
I was targeting API 18. If I switch to 21 any opaque area inside
the icons gets replaced by white and the gray circle is there too.
So this seems to do it!
What I still don't understand is this: The 'SMS Composer' application,
to be seen in my very first post was last updated 2011 - about 3 years
away from API 21 - must be API 12 or so. Why on earth does Android
transform the icon to white-only and adds the gray circle if it doesn't
do it if I'm targeting API 18?