I don't know, but I think that is something worth trying. Perhaps, little sugar cubes inserted down into the
roots would encourage the ants to munch on the roots which could be more effective at handling the weeds.
Another option that I might look into is
changing the way you mow your lawn. If you increase the height of your mower, the grass might be better able to out compete the weeds. It may even be possible to
grow neat stuff in your
lawn and make your yard a
mowable meadow of good-smelling stuff.