I loved your phrase "the little darlings" and the answer to your question is yes.....some people have passed parasites during a liver flush. Not me, though.
Some of them can float and some sink. When I passed my human fluke after doing a three week parasite cleanse, "he" floated. I have also passed rice granules (I think those are eggs) and some black, weird looking creatures! I am sure I have new freeloaders and probably should be doing another parasite cleanse. The bummer thing is you can kill all of them in your body and then pet your dog, walk barefooted in the grass, etc. and you have them all over again!