Forgive me, but not only don't I have an answer to your question, but I'd like to piggyback one of my own to this thread.
Even when my host count is shown as zero, very often I still see uploads occurring my disk. And if I haven't misread the meaning of the "time to live" variable, my search requests go out to immediately connected hosts and they in turn the requests to their immediate hosts for as many iterations as is indicated by the "time to live". I interpret this as meaning my request is actually received by a potentially much larger number of peers than the hosts number indicates. This also leads me to wonder whether the files available number has any accuracy.
Is my interpretation correct?