Have spent quite a few hours flying right next to "the beast" in smooth air, again, depending on the position of the gust front.
Having spent quite a few hours flying right next to the "beast" in extremely rough, turbulent air...first of all, there is no "gust front," but a shear axis, and the debris field will be on the lee side of that; the downwind side.
If you were working above the base on weather mod, you were working the rising columns on the upshear, or upwind side, and there's certaily turbulence to be found there. Seeding the debris field is of no value.
In any event, there certainly exists hazard close to the thunderstorm, and certainly beneath the anvil, for some distance downwind.